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Finding the Third Proportional to 7,129.69 and 7,737.19

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Solution

The third proportional to 7,129.69 and 7,737.19 is: 8,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.69 : 7,737.19 = 7,737.19 : x
  2. Step 2: Convert to fraction form
    7,129.69/7,737.19 = 7,737.19/x
  3. Step 3: Cross multiply
    7,129.69x = 7,737.19 × 7,737.19
  4. Step 4: Simplify right side
    7,129.69x = 59,864,070.41
  5. Step 5: Solve for x
    x = 59,864,070.41/7,129.69
  6. Step 6: Final answer
    x = 8,396.45

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.