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Finding the Third Proportional to 15,856 and 34,418

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Solution

The third proportional to 15,856 and 34,418 is: 74,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856 : 34,418 = 34,418 : x
  2. Step 2: Convert to fraction form
    15,856/34,418 = 34,418/x
  3. Step 3: Cross multiply
    15,856x = 34,418 × 34,418
  4. Step 4: Simplify right side
    15,856x = 1,184,598,724
  5. Step 5: Solve for x
    x = 1,184,598,724/15,856
  6. Step 6: Final answer
    x = 74,709.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.