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Finding the Third Proportional to 8,742.66 and 13,864.78

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Solution

The third proportional to 8,742.66 and 13,864.78 is: 21,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.66 : 13,864.78 = 13,864.78 : x
  2. Step 2: Convert to fraction form
    8,742.66/13,864.78 = 13,864.78/x
  3. Step 3: Cross multiply
    8,742.66x = 13,864.78 × 13,864.78
  4. Step 4: Simplify right side
    8,742.66x = 192,232,159.11
  5. Step 5: Solve for x
    x = 192,232,159.11/8,742.66
  6. Step 6: Final answer
    x = 21,987.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.