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Finding the Third Proportional to 138,128 and 207,706

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Solution

The third proportional to 138,128 and 207,706 is: 312,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,128 : 207,706 = 207,706 : x
  2. Step 2: Convert to fraction form
    138,128/207,706 = 207,706/x
  3. Step 3: Cross multiply
    138,128x = 207,706 × 207,706
  4. Step 4: Simplify right side
    138,128x = 43,141,782,436
  5. Step 5: Solve for x
    x = 43,141,782,436/138,128
  6. Step 6: Final answer
    x = 312,331.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.