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Finding the Third Proportional to 138,053 and 209,159

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Solution

The third proportional to 138,053 and 209,159 is: 316,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,053 : 209,159 = 209,159 : x
  2. Step 2: Convert to fraction form
    138,053/209,159 = 209,159/x
  3. Step 3: Cross multiply
    138,053x = 209,159 × 209,159
  4. Step 4: Simplify right side
    138,053x = 43,747,487,281
  5. Step 5: Solve for x
    x = 43,747,487,281/138,053
  6. Step 6: Final answer
    x = 316,889.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.