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Finding the Third Proportional to 218,180 and 472,792

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Solution

The third proportional to 218,180 and 472,792 is: 1,024,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,180 : 472,792 = 472,792 : x
  2. Step 2: Convert to fraction form
    218,180/472,792 = 472,792/x
  3. Step 3: Cross multiply
    218,180x = 472,792 × 472,792
  4. Step 4: Simplify right side
    218,180x = 223,532,275,264
  5. Step 5: Solve for x
    x = 223,532,275,264/218,180
  6. Step 6: Final answer
    x = 1,024,531.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.