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Finding the Third Proportional to 337,951,691,210 and 716,195,113,272

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Solution

The third proportional to 337,951,691,210 and 716,195,113,272 is: 1,517,777,403,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,951,691,210 : 716,195,113,272 = 716,195,113,272 : x
  2. Step 2: Convert to fraction form
    337,951,691,210/716,195,113,272 = 716,195,113,272/x
  3. Step 3: Cross multiply
    337,951,691,210x = 716,195,113,272 × 716,195,113,272
  4. Step 4: Simplify right side
    337,951,691,210x = 512,935,440,274,692,897,767,424
  5. Step 5: Solve for x
    x = 512,935,440,274,692,897,767,424/337,951,691,210
  6. Step 6: Final answer
    x = 1,517,777,403,149.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.