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Finding the Third Proportional to 407,005 and 868,045

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Solution

The third proportional to 407,005 and 868,045 is: 1,851,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,005 : 868,045 = 868,045 : x
  2. Step 2: Convert to fraction form
    407,005/868,045 = 868,045/x
  3. Step 3: Cross multiply
    407,005x = 868,045 × 868,045
  4. Step 4: Simplify right side
    407,005x = 753,502,122,025
  5. Step 5: Solve for x
    x = 753,502,122,025/407,005
  6. Step 6: Final answer
    x = 1,851,333.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.