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Finding the Third Proportional to 290,666 and 625,856

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Solution

The third proportional to 290,666 and 625,856 is: 1,347,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,666 : 625,856 = 625,856 : x
  2. Step 2: Convert to fraction form
    290,666/625,856 = 625,856/x
  3. Step 3: Cross multiply
    290,666x = 625,856 × 625,856
  4. Step 4: Simplify right side
    290,666x = 391,695,732,736
  5. Step 5: Solve for x
    x = 391,695,732,736/290,666
  6. Step 6: Final answer
    x = 1,347,580.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.