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Finding the Third Proportional to 168,498 and 256,206.38

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Solution

The third proportional to 168,498 and 256,206.38 is: 389,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,498 : 256,206.38 = 256,206.38 : x
  2. Step 2: Convert to fraction form
    168,498/256,206.38 = 256,206.38/x
  3. Step 3: Cross multiply
    168,498x = 256,206.38 × 256,206.38
  4. Step 4: Simplify right side
    168,498x = 65,641,706,590.64
  5. Step 5: Solve for x
    x = 65,641,706,590.64/168,498
  6. Step 6: Final answer
    x = 389,569.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.