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Finding the Third Proportional to 81,870.75 and 120,502.13

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Solution

The third proportional to 81,870.75 and 120,502.13 is: 177,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870.75 : 120,502.13 = 120,502.13 : x
  2. Step 2: Convert to fraction form
    81,870.75/120,502.13 = 120,502.13/x
  3. Step 3: Cross multiply
    81,870.75x = 120,502.13 × 120,502.13
  4. Step 4: Simplify right side
    81,870.75x = 14,520,762,129.52
  5. Step 5: Solve for x
    x = 14,520,762,129.52/81,870.75
  6. Step 6: Final answer
    x = 177,362.03

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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.