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Finding the Third Proportional to 138,849.19 and 207,360

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Solution

The third proportional to 138,849.19 and 207,360 is: 309,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,849.19 : 207,360 = 207,360 : x
  2. Step 2: Convert to fraction form
    138,849.19/207,360 = 207,360/x
  3. Step 3: Cross multiply
    138,849.19x = 207,360 × 207,360
  4. Step 4: Simplify right side
    138,849.19x = 42,998,169,600
  5. Step 5: Solve for x
    x = 42,998,169,600/138,849.19
  6. Step 6: Final answer
    x = 309,675.34

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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.