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Finding the Third Proportional to 13,248 and 29,108.25

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Solution

The third proportional to 13,248 and 29,108.25 is: 63,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 29,108.25 = 29,108.25 : x
  2. Step 2: Convert to fraction form
    13,248/29,108.25 = 29,108.25/x
  3. Step 3: Cross multiply
    13,248x = 29,108.25 × 29,108.25
  4. Step 4: Simplify right side
    13,248x = 847,290,218.06
  5. Step 5: Solve for x
    x = 847,290,218.06/13,248
  6. Step 6: Final answer
    x = 63,956.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.