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Finding the Third Proportional to 31,640 and 47,708

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Solution

The third proportional to 31,640 and 47,708 is: 71,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640 : 47,708 = 47,708 : x
  2. Step 2: Convert to fraction form
    31,640/47,708 = 47,708/x
  3. Step 3: Cross multiply
    31,640x = 47,708 × 47,708
  4. Step 4: Simplify right side
    31,640x = 2,276,053,264
  5. Step 5: Solve for x
    x = 2,276,053,264/31,640
  6. Step 6: Final answer
    x = 71,935.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.