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Finding the Third Proportional to 7,152.19 and 8,731.69

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Solution

The third proportional to 7,152.19 and 8,731.69 is: 10,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.19 : 8,731.69 = 8,731.69 : x
  2. Step 2: Convert to fraction form
    7,152.19/8,731.69 = 8,731.69/x
  3. Step 3: Cross multiply
    7,152.19x = 8,731.69 × 8,731.69
  4. Step 4: Simplify right side
    7,152.19x = 76,242,366.60
  5. Step 5: Solve for x
    x = 76,242,366.60/7,152.19
  6. Step 6: Final answer
    x = 10,660.01

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.