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Finding the Third Proportional to 31,755 and 69,737

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Solution

The third proportional to 31,755 and 69,737 is: 153,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755 : 69,737 = 69,737 : x
  2. Step 2: Convert to fraction form
    31,755/69,737 = 69,737/x
  3. Step 3: Cross multiply
    31,755x = 69,737 × 69,737
  4. Step 4: Simplify right side
    31,755x = 4,863,249,169
  5. Step 5: Solve for x
    x = 4,863,249,169/31,755
  6. Step 6: Final answer
    x = 153,149.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.