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Finding the Third Proportional to 138,640 and 214,580

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Solution

The third proportional to 138,640 and 214,580 is: 332,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640 : 214,580 = 214,580 : x
  2. Step 2: Convert to fraction form
    138,640/214,580 = 214,580/x
  3. Step 3: Cross multiply
    138,640x = 214,580 × 214,580
  4. Step 4: Simplify right side
    138,640x = 46,044,576,400
  5. Step 5: Solve for x
    x = 46,044,576,400/138,640
  6. Step 6: Final answer
    x = 332,116.10

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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.