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Finding the Third Proportional to 138,586.50 and 299,331

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Solution

The third proportional to 138,586.50 and 299,331 is: 646,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,586.50 : 299,331 = 299,331 : x
  2. Step 2: Convert to fraction form
    138,586.50/299,331 = 299,331/x
  3. Step 3: Cross multiply
    138,586.50x = 299,331 × 299,331
  4. Step 4: Simplify right side
    138,586.50x = 89,599,047,561
  5. Step 5: Solve for x
    x = 89,599,047,561/138,586.50
  6. Step 6: Final answer
    x = 646,520.75

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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.