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Finding the Third Proportional to 15,407 and 31,543

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Solution

The third proportional to 15,407 and 31,543 is: 64,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407 : 31,543 = 31,543 : x
  2. Step 2: Convert to fraction form
    15,407/31,543 = 31,543/x
  3. Step 3: Cross multiply
    15,407x = 31,543 × 31,543
  4. Step 4: Simplify right side
    15,407x = 994,960,849
  5. Step 5: Solve for x
    x = 994,960,849/15,407
  6. Step 6: Final answer
    x = 64,578.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.