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Finding the Third Proportional to 406,469 and 571,890

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Solution

The third proportional to 406,469 and 571,890 is: 804,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,469 : 571,890 = 571,890 : x
  2. Step 2: Convert to fraction form
    406,469/571,890 = 571,890/x
  3. Step 3: Cross multiply
    406,469x = 571,890 × 571,890
  4. Step 4: Simplify right side
    406,469x = 327,058,172,100
  5. Step 5: Solve for x
    x = 327,058,172,100/406,469
  6. Step 6: Final answer
    x = 804,632.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.