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Finding the Third Proportional to 8,560.69 and 9,775.69

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Solution

The third proportional to 8,560.69 and 9,775.69 is: 11,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560.69 : 9,775.69 = 9,775.69 : x
  2. Step 2: Convert to fraction form
    8,560.69/9,775.69 = 9,775.69/x
  3. Step 3: Cross multiply
    8,560.69x = 9,775.69 × 9,775.69
  4. Step 4: Simplify right side
    8,560.69x = 95,564,066.10
  5. Step 5: Solve for x
    x = 95,564,066.10/8,560.69
  6. Step 6: Final answer
    x = 11,163.13

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.