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Finding the Third Proportional to 51,810 and 78,728.50

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Solution

The third proportional to 51,810 and 78,728.50 is: 119,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810 : 78,728.50 = 78,728.50 : x
  2. Step 2: Convert to fraction form
    51,810/78,728.50 = 78,728.50/x
  3. Step 3: Cross multiply
    51,810x = 78,728.50 × 78,728.50
  4. Step 4: Simplify right side
    51,810x = 6,198,176,712.25
  5. Step 5: Solve for x
    x = 6,198,176,712.25/51,810
  6. Step 6: Final answer
    x = 119,632.83

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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.