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Finding the Third Proportional to 13,230 and 28,487.25

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Solution

The third proportional to 13,230 and 28,487.25 is: 61,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230 : 28,487.25 = 28,487.25 : x
  2. Step 2: Convert to fraction form
    13,230/28,487.25 = 28,487.25/x
  3. Step 3: Cross multiply
    13,230x = 28,487.25 × 28,487.25
  4. Step 4: Simplify right side
    13,230x = 811,523,412.56
  5. Step 5: Solve for x
    x = 811,523,412.56/13,230
  6. Step 6: Final answer
    x = 61,339.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.