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Finding the Third Proportional to 9,979.88 and 15,655.50

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Solution

The third proportional to 9,979.88 and 15,655.50 is: 24,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.88 : 15,655.50 = 15,655.50 : x
  2. Step 2: Convert to fraction form
    9,979.88/15,655.50 = 15,655.50/x
  3. Step 3: Cross multiply
    9,979.88x = 15,655.50 × 15,655.50
  4. Step 4: Simplify right side
    9,979.88x = 245,094,680.25
  5. Step 5: Solve for x
    x = 245,094,680.25/9,979.88
  6. Step 6: Final answer
    x = 24,558.89

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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.