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Finding the Third Proportional to 138,739.50 and 299,565

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Solution

The third proportional to 138,739.50 and 299,565 is: 646,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,739.50 : 299,565 = 299,565 : x
  2. Step 2: Convert to fraction form
    138,739.50/299,565 = 299,565/x
  3. Step 3: Cross multiply
    138,739.50x = 299,565 × 299,565
  4. Step 4: Simplify right side
    138,739.50x = 89,739,189,225
  5. Step 5: Solve for x
    x = 89,739,189,225/138,739.50
  6. Step 6: Final answer
    x = 646,817.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.