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Finding the Third Proportional to 138,492 and 207,504

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Solution

The third proportional to 138,492 and 207,504 is: 310,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,492 : 207,504 = 207,504 : x
  2. Step 2: Convert to fraction form
    138,492/207,504 = 207,504/x
  3. Step 3: Cross multiply
    138,492x = 207,504 × 207,504
  4. Step 4: Simplify right side
    138,492x = 43,057,910,016
  5. Step 5: Solve for x
    x = 43,057,910,016/138,492
  6. Step 6: Final answer
    x = 310,905.40

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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.