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Finding the Third Proportional to 31,489 and 66,532.50

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Solution

The third proportional to 31,489 and 66,532.50 is: 140,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,489 : 66,532.50 = 66,532.50 : x
  2. Step 2: Convert to fraction form
    31,489/66,532.50 = 66,532.50/x
  3. Step 3: Cross multiply
    31,489x = 66,532.50 × 66,532.50
  4. Step 4: Simplify right side
    31,489x = 4,426,573,556.25
  5. Step 5: Solve for x
    x = 4,426,573,556.25/31,489
  6. Step 6: Final answer
    x = 140,575.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.