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Finding the Third Proportional to 142,640 and 220,748

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Solution

The third proportional to 142,640 and 220,748 is: 341,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,640 : 220,748 = 220,748 : x
  2. Step 2: Convert to fraction form
    142,640/220,748 = 220,748/x
  3. Step 3: Cross multiply
    142,640x = 220,748 × 220,748
  4. Step 4: Simplify right side
    142,640x = 48,729,679,504
  5. Step 5: Solve for x
    x = 48,729,679,504/142,640
  6. Step 6: Final answer
    x = 341,627.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.