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Finding the Third Proportional to 138,033 and 207,747

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Solution

The third proportional to 138,033 and 207,747 is: 312,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,033 : 207,747 = 207,747 : x
  2. Step 2: Convert to fraction form
    138,033/207,747 = 207,747/x
  3. Step 3: Cross multiply
    138,033x = 207,747 × 207,747
  4. Step 4: Simplify right side
    138,033x = 43,158,816,009
  5. Step 5: Solve for x
    x = 43,158,816,009/138,033
  6. Step 6: Final answer
    x = 312,670.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.