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Finding the Third Proportional to 169,531 and 256,481

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Solution

The third proportional to 169,531 and 256,481 is: 388,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,531 : 256,481 = 256,481 : x
  2. Step 2: Convert to fraction form
    169,531/256,481 = 256,481/x
  3. Step 3: Cross multiply
    169,531x = 256,481 × 256,481
  4. Step 4: Simplify right side
    169,531x = 65,782,503,361
  5. Step 5: Solve for x
    x = 65,782,503,361/169,531
  6. Step 6: Final answer
    x = 388,026.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.