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Finding the Third Proportional to 12,681 and 29,399

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Solution

The third proportional to 12,681 and 29,399 is: 68,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681 : 29,399 = 29,399 : x
  2. Step 2: Convert to fraction form
    12,681/29,399 = 29,399/x
  3. Step 3: Cross multiply
    12,681x = 29,399 × 29,399
  4. Step 4: Simplify right side
    12,681x = 864,301,201
  5. Step 5: Solve for x
    x = 864,301,201/12,681
  6. Step 6: Final answer
    x = 68,157.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.