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Finding the Third Proportional to 137,608 and 279,089

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Solution

The third proportional to 137,608 and 279,089 is: 566,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608 : 279,089 = 279,089 : x
  2. Step 2: Convert to fraction form
    137,608/279,089 = 279,089/x
  3. Step 3: Cross multiply
    137,608x = 279,089 × 279,089
  4. Step 4: Simplify right side
    137,608x = 77,890,669,921
  5. Step 5: Solve for x
    x = 77,890,669,921/137,608
  6. Step 6: Final answer
    x = 566,033.01

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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.