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Finding the Third Proportional to 494,480,334,829 and 1,071,108,946,946

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Solution

The third proportional to 494,480,334,829 and 1,071,108,946,946 is: 2,320,161,784,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,480,334,829 : 1,071,108,946,946 = 1,071,108,946,946 : x
  2. Step 2: Convert to fraction form
    494,480,334,829/1,071,108,946,946 = 1,071,108,946,946/x
  3. Step 3: Cross multiply
    494,480,334,829x = 1,071,108,946,946 × 1,071,108,946,946
  4. Step 4: Simplify right side
    494,480,334,829x = 1,147,274,376,227,769,037,094,912
  5. Step 5: Solve for x
    x = 1,147,274,376,227,769,037,094,912/494,480,334,829
  6. Step 6: Final answer
    x = 2,320,161,784,845.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.