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Finding the Third Proportional to 137,609 and 279,091

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Solution

The third proportional to 137,609 and 279,091 is: 566,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,609 : 279,091 = 279,091 : x
  2. Step 2: Convert to fraction form
    137,609/279,091 = 279,091/x
  3. Step 3: Cross multiply
    137,609x = 279,091 × 279,091
  4. Step 4: Simplify right side
    137,609x = 77,891,786,281
  5. Step 5: Solve for x
    x = 77,891,786,281/137,609
  6. Step 6: Final answer
    x = 566,037.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.