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Finding the Third Proportional to 402,691 and 604,005

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Solution

The third proportional to 402,691 and 604,005 is: 905,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,691 : 604,005 = 604,005 : x
  2. Step 2: Convert to fraction form
    402,691/604,005 = 604,005/x
  3. Step 3: Cross multiply
    402,691x = 604,005 × 604,005
  4. Step 4: Simplify right side
    402,691x = 364,822,040,025
  5. Step 5: Solve for x
    x = 364,822,040,025/402,691
  6. Step 6: Final answer
    x = 905,960.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.