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Finding the Third Proportional to 51,811.50 and 78,730

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Solution

The third proportional to 51,811.50 and 78,730 is: 119,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811.50 : 78,730 = 78,730 : x
  2. Step 2: Convert to fraction form
    51,811.50/78,730 = 78,730/x
  3. Step 3: Cross multiply
    51,811.50x = 78,730 × 78,730
  4. Step 4: Simplify right side
    51,811.50x = 6,198,412,900
  5. Step 5: Solve for x
    x = 6,198,412,900/51,811.50
  6. Step 6: Final answer
    x = 119,633.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.