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Finding the Third Proportional to 72,800 and 103,125

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Solution

The third proportional to 72,800 and 103,125 is: 146,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,800 : 103,125 = 103,125 : x
  2. Step 2: Convert to fraction form
    72,800/103,125 = 103,125/x
  3. Step 3: Cross multiply
    72,800x = 103,125 × 103,125
  4. Step 4: Simplify right side
    72,800x = 10,634,765,625
  5. Step 5: Solve for x
    x = 10,634,765,625/72,800
  6. Step 6: Final answer
    x = 146,081.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.