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Finding the Third Proportional to 420,166 and 604,005

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Solution

The third proportional to 420,166 and 604,005 is: 868,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,166 : 604,005 = 604,005 : x
  2. Step 2: Convert to fraction form
    420,166/604,005 = 604,005/x
  3. Step 3: Cross multiply
    420,166x = 604,005 × 604,005
  4. Step 4: Simplify right side
    420,166x = 364,822,040,025
  5. Step 5: Solve for x
    x = 364,822,040,025/420,166
  6. Step 6: Final answer
    x = 868,280.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.