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Finding the Third Proportional to 168,460 and 255,416

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Solution

The third proportional to 168,460 and 255,416 is: 387,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,460 : 255,416 = 255,416 : x
  2. Step 2: Convert to fraction form
    168,460/255,416 = 255,416/x
  3. Step 3: Cross multiply
    168,460x = 255,416 × 255,416
  4. Step 4: Simplify right side
    168,460x = 65,237,333,056
  5. Step 5: Solve for x
    x = 65,237,333,056/168,460
  6. Step 6: Final answer
    x = 387,257.11

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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.