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Finding the Third Proportional to 9,580.50 and 15,832.13

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Solution

The third proportional to 9,580.50 and 15,832.13 is: 26,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.50 : 15,832.13 = 15,832.13 : x
  2. Step 2: Convert to fraction form
    9,580.50/15,832.13 = 15,832.13/x
  3. Step 3: Cross multiply
    9,580.50x = 15,832.13 × 15,832.13
  4. Step 4: Simplify right side
    9,580.50x = 250,656,182.02
  5. Step 5: Solve for x
    x = 250,656,182.02/9,580.50
  6. Step 6: Final answer
    x = 26,163.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.