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Finding the Third Proportional to 8,746 and 13,115.50

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Solution

The third proportional to 8,746 and 13,115.50 is: 19,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746 : 13,115.50 = 13,115.50 : x
  2. Step 2: Convert to fraction form
    8,746/13,115.50 = 13,115.50/x
  3. Step 3: Cross multiply
    8,746x = 13,115.50 × 13,115.50
  4. Step 4: Simplify right side
    8,746x = 172,016,340.25
  5. Step 5: Solve for x
    x = 172,016,340.25/8,746
  6. Step 6: Final answer
    x = 19,668.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.