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Finding the Third Proportional to 6,541.88 and 9,600.19

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Solution

The third proportional to 6,541.88 and 9,600.19 is: 14,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.88 : 9,600.19 = 9,600.19 : x
  2. Step 2: Convert to fraction form
    6,541.88/9,600.19 = 9,600.19/x
  3. Step 3: Cross multiply
    6,541.88x = 9,600.19 × 9,600.19
  4. Step 4: Simplify right side
    6,541.88x = 92,163,600.04
  5. Step 5: Solve for x
    x = 92,163,600.04/6,541.88
  6. Step 6: Final answer
    x = 14,088.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.