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Finding the Third Proportional to 138,224 and 207,863

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Solution

The third proportional to 138,224 and 207,863 is: 312,587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,224 : 207,863 = 207,863 : x
  2. Step 2: Convert to fraction form
    138,224/207,863 = 207,863/x
  3. Step 3: Cross multiply
    138,224x = 207,863 × 207,863
  4. Step 4: Simplify right side
    138,224x = 43,207,026,769
  5. Step 5: Solve for x
    x = 43,207,026,769/138,224
  6. Step 6: Final answer
    x = 312,587.01

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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.