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Finding the Third Proportional to 138,643 and 207,040

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Solution

The third proportional to 138,643 and 207,040 is: 309,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,643 : 207,040 = 207,040 : x
  2. Step 2: Convert to fraction form
    138,643/207,040 = 207,040/x
  3. Step 3: Cross multiply
    138,643x = 207,040 × 207,040
  4. Step 4: Simplify right side
    138,643x = 42,865,561,600
  5. Step 5: Solve for x
    x = 42,865,561,600/138,643
  6. Step 6: Final answer
    x = 309,179.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.