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Finding the Third Proportional to 138,107 and 209,028

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Solution

The third proportional to 138,107 and 209,028 is: 316,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,107 : 209,028 = 209,028 : x
  2. Step 2: Convert to fraction form
    138,107/209,028 = 209,028/x
  3. Step 3: Cross multiply
    138,107x = 209,028 × 209,028
  4. Step 4: Simplify right side
    138,107x = 43,692,704,784
  5. Step 5: Solve for x
    x = 43,692,704,784/138,107
  6. Step 6: Final answer
    x = 316,368.50

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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.