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Finding the Third Proportional to 138,110 and 209,033

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Solution

The third proportional to 138,110 and 209,033 is: 316,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,110 : 209,033 = 209,033 : x
  2. Step 2: Convert to fraction form
    138,110/209,033 = 209,033/x
  3. Step 3: Cross multiply
    138,110x = 209,033 × 209,033
  4. Step 4: Simplify right side
    138,110x = 43,694,795,089
  5. Step 5: Solve for x
    x = 43,694,795,089/138,110
  6. Step 6: Final answer
    x = 316,376.77

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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.