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Finding the Third Proportional to 155,609 and 247,022

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Solution

The third proportional to 155,609 and 247,022 is: 392,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,609 : 247,022 = 247,022 : x
  2. Step 2: Convert to fraction form
    155,609/247,022 = 247,022/x
  3. Step 3: Cross multiply
    155,609x = 247,022 × 247,022
  4. Step 4: Simplify right side
    155,609x = 61,019,868,484
  5. Step 5: Solve for x
    x = 61,019,868,484/155,609
  6. Step 6: Final answer
    x = 392,135.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.