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Finding the Third Proportional to 31,636 and 47,382

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Solution

The third proportional to 31,636 and 47,382 is: 70,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,636 : 47,382 = 47,382 : x
  2. Step 2: Convert to fraction form
    31,636/47,382 = 47,382/x
  3. Step 3: Cross multiply
    31,636x = 47,382 × 47,382
  4. Step 4: Simplify right side
    31,636x = 2,245,053,924
  5. Step 5: Solve for x
    x = 2,245,053,924/31,636
  6. Step 6: Final answer
    x = 70,965.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.