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Finding the Third Proportional to 6,864.75 and 7,711.45

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Solution

The third proportional to 6,864.75 and 7,711.45 is: 8,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 7,711.45 = 7,711.45 : x
  2. Step 2: Convert to fraction form
    6,864.75/7,711.45 = 7,711.45/x
  3. Step 3: Cross multiply
    6,864.75x = 7,711.45 × 7,711.45
  4. Step 4: Simplify right side
    6,864.75x = 59,466,509.30
  5. Step 5: Solve for x
    x = 59,466,509.30/6,864.75
  6. Step 6: Final answer
    x = 8,662.59

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.