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Finding the Third Proportional to 12,434.50 and 25,444

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Solution

The third proportional to 12,434.50 and 25,444 is: 52,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.50 : 25,444 = 25,444 : x
  2. Step 2: Convert to fraction form
    12,434.50/25,444 = 25,444/x
  3. Step 3: Cross multiply
    12,434.50x = 25,444 × 25,444
  4. Step 4: Simplify right side
    12,434.50x = 647,397,136
  5. Step 5: Solve for x
    x = 647,397,136/12,434.50
  6. Step 6: Final answer
    x = 52,064.59

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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.