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Finding the Third Proportional to 86,614.31 and 126,921.09

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Solution

The third proportional to 86,614.31 and 126,921.09 is: 185,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,614.31 : 126,921.09 = 126,921.09 : x
  2. Step 2: Convert to fraction form
    86,614.31/126,921.09 = 126,921.09/x
  3. Step 3: Cross multiply
    86,614.31x = 126,921.09 × 126,921.09
  4. Step 4: Simplify right side
    86,614.31x = 16,108,964,038.70
  5. Step 5: Solve for x
    x = 16,108,964,038.70/86,614.31
  6. Step 6: Final answer
    x = 185,985.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.