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Finding the Third Proportional to 168,654 and 256,437

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Solution

The third proportional to 168,654 and 256,437 is: 389,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,654 : 256,437 = 256,437 : x
  2. Step 2: Convert to fraction form
    168,654/256,437 = 256,437/x
  3. Step 3: Cross multiply
    168,654x = 256,437 × 256,437
  4. Step 4: Simplify right side
    168,654x = 65,759,934,969
  5. Step 5: Solve for x
    x = 65,759,934,969/168,654
  6. Step 6: Final answer
    x = 389,910.32

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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.