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Finding the Third Proportional to 117,376,318,584 and 257,811,552,108

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Solution

The third proportional to 117,376,318,584 and 257,811,552,108 is: 566,270,924,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,376,318,584 : 257,811,552,108 = 257,811,552,108 : x
  2. Step 2: Convert to fraction form
    117,376,318,584/257,811,552,108 = 257,811,552,108/x
  3. Step 3: Cross multiply
    117,376,318,584x = 257,811,552,108 × 257,811,552,108
  4. Step 4: Simplify right side
    117,376,318,584x = 66,466,796,400,335,998,943,232
  5. Step 5: Solve for x
    x = 66,466,796,400,335,998,943,232/117,376,318,584
  6. Step 6: Final answer
    x = 566,270,924,170.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.