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Finding the Third Proportional to 642,834 and 951,129

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Solution

The third proportional to 642,834 and 951,129 is: 1,407,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,834 : 951,129 = 951,129 : x
  2. Step 2: Convert to fraction form
    642,834/951,129 = 951,129/x
  3. Step 3: Cross multiply
    642,834x = 951,129 × 951,129
  4. Step 4: Simplify right side
    642,834x = 904,646,374,641
  5. Step 5: Solve for x
    x = 904,646,374,641/642,834
  6. Step 6: Final answer
    x = 1,407,278.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.