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Finding the Third Proportional to 10,479 and 13,252.50

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Solution

The third proportional to 10,479 and 13,252.50 is: 16,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479 : 13,252.50 = 13,252.50 : x
  2. Step 2: Convert to fraction form
    10,479/13,252.50 = 13,252.50/x
  3. Step 3: Cross multiply
    10,479x = 13,252.50 × 13,252.50
  4. Step 4: Simplify right side
    10,479x = 175,628,756.25
  5. Step 5: Solve for x
    x = 175,628,756.25/10,479
  6. Step 6: Final answer
    x = 16,760.07

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.