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Finding the Third Proportional to 140,724 and 218,295

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Solution

The third proportional to 140,724 and 218,295 is: 338,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,724 : 218,295 = 218,295 : x
  2. Step 2: Convert to fraction form
    140,724/218,295 = 218,295/x
  3. Step 3: Cross multiply
    140,724x = 218,295 × 218,295
  4. Step 4: Simplify right side
    140,724x = 47,652,707,025
  5. Step 5: Solve for x
    x = 47,652,707,025/140,724
  6. Step 6: Final answer
    x = 338,625.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.