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Finding the Third Proportional to 138,640 and 220,380

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Solution

The third proportional to 138,640 and 220,380 is: 350,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640 : 220,380 = 220,380 : x
  2. Step 2: Convert to fraction form
    138,640/220,380 = 220,380/x
  3. Step 3: Cross multiply
    138,640x = 220,380 × 220,380
  4. Step 4: Simplify right side
    138,640x = 48,567,344,400
  5. Step 5: Solve for x
    x = 48,567,344,400/138,640
  6. Step 6: Final answer
    x = 350,312.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.