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Finding the Third Proportional to 81,474.29 and 168,586.95

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Solution

The third proportional to 81,474.29 and 168,586.95 is: 348,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,474.29 : 168,586.95 = 168,586.95 : x
  2. Step 2: Convert to fraction form
    81,474.29/168,586.95 = 168,586.95/x
  3. Step 3: Cross multiply
    81,474.29x = 168,586.95 × 168,586.95
  4. Step 4: Simplify right side
    81,474.29x = 28,421,558,129.80
  5. Step 5: Solve for x
    x = 28,421,558,129.80/81,474.29
  6. Step 6: Final answer
    x = 348,840.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.