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Finding the Third Proportional to 634,413 and 861,191.50

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Solution

The third proportional to 634,413 and 861,191.50 is: 1,169,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,413 : 861,191.50 = 861,191.50 : x
  2. Step 2: Convert to fraction form
    634,413/861,191.50 = 861,191.50/x
  3. Step 3: Cross multiply
    634,413x = 861,191.50 × 861,191.50
  4. Step 4: Simplify right side
    634,413x = 741,650,799,672.25
  5. Step 5: Solve for x
    x = 741,650,799,672.25/634,413
  6. Step 6: Final answer
    x = 1,169,034.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.