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Finding the Third Proportional to 8,786 and 13,808.50

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Solution

The third proportional to 8,786 and 13,808.50 is: 21,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786 : 13,808.50 = 13,808.50 : x
  2. Step 2: Convert to fraction form
    8,786/13,808.50 = 13,808.50/x
  3. Step 3: Cross multiply
    8,786x = 13,808.50 × 13,808.50
  4. Step 4: Simplify right side
    8,786x = 190,674,672.25
  5. Step 5: Solve for x
    x = 190,674,672.25/8,786
  6. Step 6: Final answer
    x = 21,702.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.