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Finding the Third Proportional to 664,403 and 1,030,731

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Solution

The third proportional to 664,403 and 1,030,731 is: 1,599,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,403 : 1,030,731 = 1,030,731 : x
  2. Step 2: Convert to fraction form
    664,403/1,030,731 = 1,030,731/x
  3. Step 3: Cross multiply
    664,403x = 1,030,731 × 1,030,731
  4. Step 4: Simplify right side
    664,403x = 1,062,406,394,361
  5. Step 5: Solve for x
    x = 1,062,406,394,361/664,403
  6. Step 6: Final answer
    x = 1,599,039.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.