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Finding the Third Proportional to 13,407 and 29,405

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Solution

The third proportional to 13,407 and 29,405 is: 64,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407 : 29,405 = 29,405 : x
  2. Step 2: Convert to fraction form
    13,407/29,405 = 29,405/x
  3. Step 3: Cross multiply
    13,407x = 29,405 × 29,405
  4. Step 4: Simplify right side
    13,407x = 864,654,025
  5. Step 5: Solve for x
    x = 864,654,025/13,407
  6. Step 6: Final answer
    x = 64,492.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.