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Finding the Third Proportional to 8,465.77 and 12,880.90

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Solution

The third proportional to 8,465.77 and 12,880.90 is: 19,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.77 : 12,880.90 = 12,880.90 : x
  2. Step 2: Convert to fraction form
    8,465.77/12,880.90 = 12,880.90/x
  3. Step 3: Cross multiply
    8,465.77x = 12,880.90 × 12,880.90
  4. Step 4: Simplify right side
    8,465.77x = 165,917,544.56
  5. Step 5: Solve for x
    x = 165,917,544.56/8,465.77
  6. Step 6: Final answer
    x = 19,598.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.