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Finding the Third Proportional to 12,229 and 13,291

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Solution

The third proportional to 12,229 and 13,291 is: 14,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229 : 13,291 = 13,291 : x
  2. Step 2: Convert to fraction form
    12,229/13,291 = 13,291/x
  3. Step 3: Cross multiply
    12,229x = 13,291 × 13,291
  4. Step 4: Simplify right side
    12,229x = 176,650,681
  5. Step 5: Solve for x
    x = 176,650,681/12,229
  6. Step 6: Final answer
    x = 14,445.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.