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Finding the Third Proportional to 161,569 and 255,719

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Solution

The third proportional to 161,569 and 255,719 is: 404,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,569 : 255,719 = 255,719 : x
  2. Step 2: Convert to fraction form
    161,569/255,719 = 255,719/x
  3. Step 3: Cross multiply
    161,569x = 255,719 × 255,719
  4. Step 4: Simplify right side
    161,569x = 65,392,206,961
  5. Step 5: Solve for x
    x = 65,392,206,961/161,569
  6. Step 6: Final answer
    x = 404,732.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.