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Finding the Third Proportional to 138,535.88 and 299,174.06

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Solution

The third proportional to 138,535.88 and 299,174.06 is: 646,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,535.88 : 299,174.06 = 299,174.06 : x
  2. Step 2: Convert to fraction form
    138,535.88/299,174.06 = 299,174.06/x
  3. Step 3: Cross multiply
    138,535.88x = 299,174.06 × 299,174.06
  4. Step 4: Simplify right side
    138,535.88x = 89,505,119,672.75
  5. Step 5: Solve for x
    x = 89,505,119,672.75/138,535.88
  6. Step 6: Final answer
    x = 646,079.00

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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.