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Finding the Third Proportional to 664,389 and 1,030,725

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Solution

The third proportional to 664,389 and 1,030,725 is: 1,599,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,389 : 1,030,725 = 1,030,725 : x
  2. Step 2: Convert to fraction form
    664,389/1,030,725 = 1,030,725/x
  3. Step 3: Cross multiply
    664,389x = 1,030,725 × 1,030,725
  4. Step 4: Simplify right side
    664,389x = 1,062,394,025,625
  5. Step 5: Solve for x
    x = 1,062,394,025,625/664,389
  6. Step 6: Final answer
    x = 1,599,054.21

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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.