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Finding the Third Proportional to 172,418 and 258,861

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Solution

The third proportional to 172,418 and 258,861 is: 388,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,418 : 258,861 = 258,861 : x
  2. Step 2: Convert to fraction form
    172,418/258,861 = 258,861/x
  3. Step 3: Cross multiply
    172,418x = 258,861 × 258,861
  4. Step 4: Simplify right side
    172,418x = 67,009,017,321
  5. Step 5: Solve for x
    x = 67,009,017,321/172,418
  6. Step 6: Final answer
    x = 388,642.82

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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.