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Finding the Third Proportional to 31,128 and 47,342

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Solution

The third proportional to 31,128 and 47,342 is: 72,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128 : 47,342 = 47,342 : x
  2. Step 2: Convert to fraction form
    31,128/47,342 = 47,342/x
  3. Step 3: Cross multiply
    31,128x = 47,342 × 47,342
  4. Step 4: Simplify right side
    31,128x = 2,241,264,964
  5. Step 5: Solve for x
    x = 2,241,264,964/31,128
  6. Step 6: Final answer
    x = 72,001.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.