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Finding the Third Proportional to 8,786.50 and 14,053

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Solution

The third proportional to 8,786.50 and 14,053 is: 22,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786.50 : 14,053 = 14,053 : x
  2. Step 2: Convert to fraction form
    8,786.50/14,053 = 14,053/x
  3. Step 3: Cross multiply
    8,786.50x = 14,053 × 14,053
  4. Step 4: Simplify right side
    8,786.50x = 197,486,809
  5. Step 5: Solve for x
    x = 197,486,809/8,786.50
  6. Step 6: Final answer
    x = 22,476.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.