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Finding the Third Proportional to 9,986.25 and 15,664.88

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Solution

The third proportional to 9,986.25 and 15,664.88 is: 24,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.25 : 15,664.88 = 15,664.88 : x
  2. Step 2: Convert to fraction form
    9,986.25/15,664.88 = 15,664.88/x
  3. Step 3: Cross multiply
    9,986.25x = 15,664.88 × 15,664.88
  4. Step 4: Simplify right side
    9,986.25x = 245,388,308.77
  5. Step 5: Solve for x
    x = 245,388,308.77/9,986.25
  6. Step 6: Final answer
    x = 24,572.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.