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Finding the Third Proportional to 331,350,946 and 518,659,251

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Solution

The third proportional to 331,350,946 and 518,659,251 is: 811,850,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,350,946 : 518,659,251 = 518,659,251 : x
  2. Step 2: Convert to fraction form
    331,350,946/518,659,251 = 518,659,251/x
  3. Step 3: Cross multiply
    331,350,946x = 518,659,251 × 518,659,251
  4. Step 4: Simplify right side
    331,350,946x = 269,007,418,647,880,992
  5. Step 5: Solve for x
    x = 269,007,418,647,880,992/331,350,946
  6. Step 6: Final answer
    x = 811,850,462.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.