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Finding the Third Proportional to 8,782.17 and 10,331.30

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Solution

The third proportional to 8,782.17 and 10,331.30 is: 12,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.17 : 10,331.30 = 10,331.30 : x
  2. Step 2: Convert to fraction form
    8,782.17/10,331.30 = 10,331.30/x
  3. Step 3: Cross multiply
    8,782.17x = 10,331.30 × 10,331.30
  4. Step 4: Simplify right side
    8,782.17x = 106,735,695.12
  5. Step 5: Solve for x
    x = 106,735,695.12/8,782.17
  6. Step 6: Final answer
    x = 12,153.68

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.