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Finding the Third Proportional to 47,640 and 71,370

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Solution

The third proportional to 47,640 and 71,370 is: 106,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640 : 71,370 = 71,370 : x
  2. Step 2: Convert to fraction form
    47,640/71,370 = 71,370/x
  3. Step 3: Cross multiply
    47,640x = 71,370 × 71,370
  4. Step 4: Simplify right side
    47,640x = 5,093,676,900
  5. Step 5: Solve for x
    x = 5,093,676,900/47,640
  6. Step 6: Final answer
    x = 106,920.17

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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.