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Finding the Third Proportional to 138,850 and 207,678

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Solution

The third proportional to 138,850 and 207,678 is: 310,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,850 : 207,678 = 207,678 : x
  2. Step 2: Convert to fraction form
    138,850/207,678 = 207,678/x
  3. Step 3: Cross multiply
    138,850x = 207,678 × 207,678
  4. Step 4: Simplify right side
    138,850x = 43,130,151,684
  5. Step 5: Solve for x
    x = 43,130,151,684/138,850
  6. Step 6: Final answer
    x = 310,624.07

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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.