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Finding the Third Proportional to 138,768 and 209,127

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Solution

The third proportional to 138,768 and 209,127 is: 315,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768 : 209,127 = 209,127 : x
  2. Step 2: Convert to fraction form
    138,768/209,127 = 209,127/x
  3. Step 3: Cross multiply
    138,768x = 209,127 × 209,127
  4. Step 4: Simplify right side
    138,768x = 43,734,102,129
  5. Step 5: Solve for x
    x = 43,734,102,129/138,768
  6. Step 6: Final answer
    x = 315,159.85

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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.