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Finding the Third Proportional to 81,231.19 and 178,156.13

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Solution

The third proportional to 81,231.19 and 178,156.13 is: 390,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,231.19 : 178,156.13 = 178,156.13 : x
  2. Step 2: Convert to fraction form
    81,231.19/178,156.13 = 178,156.13/x
  3. Step 3: Cross multiply
    81,231.19x = 178,156.13 × 178,156.13
  4. Step 4: Simplify right side
    81,231.19x = 31,739,604,875.02
  5. Step 5: Solve for x
    x = 31,739,604,875.02/81,231.19
  6. Step 6: Final answer
    x = 390,731.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.