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Finding the Third Proportional to 9,980 and 15,043.50

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Solution

The third proportional to 9,980 and 15,043.50 is: 22,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980 : 15,043.50 = 15,043.50 : x
  2. Step 2: Convert to fraction form
    9,980/15,043.50 = 15,043.50/x
  3. Step 3: Cross multiply
    9,980x = 15,043.50 × 15,043.50
  4. Step 4: Simplify right side
    9,980x = 226,306,892.25
  5. Step 5: Solve for x
    x = 226,306,892.25/9,980
  6. Step 6: Final answer
    x = 22,676.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.