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Finding the Third Proportional to 31,750 and 69,403

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Solution

The third proportional to 31,750 and 69,403 is: 151,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750 : 69,403 = 69,403 : x
  2. Step 2: Convert to fraction form
    31,750/69,403 = 69,403/x
  3. Step 3: Cross multiply
    31,750x = 69,403 × 69,403
  4. Step 4: Simplify right side
    31,750x = 4,816,776,409
  5. Step 5: Solve for x
    x = 4,816,776,409/31,750
  6. Step 6: Final answer
    x = 151,709.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.