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Finding the Third Proportional to 28,305 and 76,972.50

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Solution

The third proportional to 28,305 and 76,972.50 is: 209,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305 : 76,972.50 = 76,972.50 : x
  2. Step 2: Convert to fraction form
    28,305/76,972.50 = 76,972.50/x
  3. Step 3: Cross multiply
    28,305x = 76,972.50 × 76,972.50
  4. Step 4: Simplify right side
    28,305x = 5,924,765,756.25
  5. Step 5: Solve for x
    x = 5,924,765,756.25/28,305
  6. Step 6: Final answer
    x = 209,318.70

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.