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Finding the Third Proportional to 8,569 and 12,961.50

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Solution

The third proportional to 8,569 and 12,961.50 is: 19,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569 : 12,961.50 = 12,961.50 : x
  2. Step 2: Convert to fraction form
    8,569/12,961.50 = 12,961.50/x
  3. Step 3: Cross multiply
    8,569x = 12,961.50 × 12,961.50
  4. Step 4: Simplify right side
    8,569x = 168,000,482.25
  5. Step 5: Solve for x
    x = 168,000,482.25/8,569
  6. Step 6: Final answer
    x = 19,605.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.