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Finding the Third Proportional to 31,572 and 67,347

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Solution

The third proportional to 31,572 and 67,347 is: 143,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572 : 67,347 = 67,347 : x
  2. Step 2: Convert to fraction form
    31,572/67,347 = 67,347/x
  3. Step 3: Cross multiply
    31,572x = 67,347 × 67,347
  4. Step 4: Simplify right side
    31,572x = 4,535,618,409
  5. Step 5: Solve for x
    x = 4,535,618,409/31,572
  6. Step 6: Final answer
    x = 143,659.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.