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Finding the Third Proportional to 155,606 and 247,017

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Solution

The third proportional to 155,606 and 247,017 is: 392,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,606 : 247,017 = 247,017 : x
  2. Step 2: Convert to fraction form
    155,606/247,017 = 247,017/x
  3. Step 3: Cross multiply
    155,606x = 247,017 × 247,017
  4. Step 4: Simplify right side
    155,606x = 61,017,398,289
  5. Step 5: Solve for x
    x = 61,017,398,289/155,606
  6. Step 6: Final answer
    x = 392,127.54

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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.