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Finding the Third Proportional to 435,415 and 659,691

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Solution

The third proportional to 435,415 and 659,691 is: 999,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,415 : 659,691 = 659,691 : x
  2. Step 2: Convert to fraction form
    435,415/659,691 = 659,691/x
  3. Step 3: Cross multiply
    435,415x = 659,691 × 659,691
  4. Step 4: Simplify right side
    435,415x = 435,192,215,481
  5. Step 5: Solve for x
    x = 435,192,215,481/435,415
  6. Step 6: Final answer
    x = 999,488.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.