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Finding the Third Proportional to 8,115.19 and 13,671.28

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Solution

The third proportional to 8,115.19 and 13,671.28 is: 23,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.19 : 13,671.28 = 13,671.28 : x
  2. Step 2: Convert to fraction form
    8,115.19/13,671.28 = 13,671.28/x
  3. Step 3: Cross multiply
    8,115.19x = 13,671.28 × 13,671.28
  4. Step 4: Simplify right side
    8,115.19x = 186,903,931.02
  5. Step 5: Solve for x
    x = 186,903,931.02/8,115.19
  6. Step 6: Final answer
    x = 23,031.38

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.