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Finding the Third Proportional to 63,220 and 135,080

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Solution

The third proportional to 63,220 and 135,080 is: 288,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,220 : 135,080 = 135,080 : x
  2. Step 2: Convert to fraction form
    63,220/135,080 = 135,080/x
  3. Step 3: Cross multiply
    63,220x = 135,080 × 135,080
  4. Step 4: Simplify right side
    63,220x = 18,246,606,400
  5. Step 5: Solve for x
    x = 18,246,606,400/63,220
  6. Step 6: Final answer
    x = 288,620.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.