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Finding the Third Proportional to 138,240 and 207,468

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Solution

The third proportional to 138,240 and 207,468 is: 311,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,240 : 207,468 = 207,468 : x
  2. Step 2: Convert to fraction form
    138,240/207,468 = 207,468/x
  3. Step 3: Cross multiply
    138,240x = 207,468 × 207,468
  4. Step 4: Simplify right side
    138,240x = 43,042,971,024
  5. Step 5: Solve for x
    x = 43,042,971,024/138,240
  6. Step 6: Final answer
    x = 311,364.08

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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.