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Finding the Third Proportional to 7,129.27 and 7,881.05

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Solution

The third proportional to 7,129.27 and 7,881.05 is: 8,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.27 : 7,881.05 = 7,881.05 : x
  2. Step 2: Convert to fraction form
    7,129.27/7,881.05 = 7,881.05/x
  3. Step 3: Cross multiply
    7,129.27x = 7,881.05 × 7,881.05
  4. Step 4: Simplify right side
    7,129.27x = 62,110,899.85
  5. Step 5: Solve for x
    x = 62,110,899.85/7,129.27
  6. Step 6: Final answer
    x = 8,712.10

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.