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Finding the Third Proportional to 285,959 and 564,739

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Solution

The third proportional to 285,959 and 564,739 is: 1,115,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,959 : 564,739 = 564,739 : x
  2. Step 2: Convert to fraction form
    285,959/564,739 = 564,739/x
  3. Step 3: Cross multiply
    285,959x = 564,739 × 564,739
  4. Step 4: Simplify right side
    285,959x = 318,930,138,121
  5. Step 5: Solve for x
    x = 318,930,138,121/285,959
  6. Step 6: Final answer
    x = 1,115,300.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.