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Finding the Third Proportional to 168,438 and 253,341

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Solution

The third proportional to 168,438 and 253,341 is: 381,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,438 : 253,341 = 253,341 : x
  2. Step 2: Convert to fraction form
    168,438/253,341 = 253,341/x
  3. Step 3: Cross multiply
    168,438x = 253,341 × 253,341
  4. Step 4: Simplify right side
    168,438x = 64,181,662,281
  5. Step 5: Solve for x
    x = 64,181,662,281/168,438
  6. Step 6: Final answer
    x = 381,040.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.