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Finding the Third Proportional to 168,518 and 253,209

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Solution

The third proportional to 168,518 and 253,209 is: 380,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,518 : 253,209 = 253,209 : x
  2. Step 2: Convert to fraction form
    168,518/253,209 = 253,209/x
  3. Step 3: Cross multiply
    168,518x = 253,209 × 253,209
  4. Step 4: Simplify right side
    168,518x = 64,114,797,681
  5. Step 5: Solve for x
    x = 64,114,797,681/168,518
  6. Step 6: Final answer
    x = 380,462.61

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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.