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Finding the Third Proportional to 168,400 and 243,288

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Solution

The third proportional to 168,400 and 243,288 is: 351,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,400 : 243,288 = 243,288 : x
  2. Step 2: Convert to fraction form
    168,400/243,288 = 243,288/x
  3. Step 3: Cross multiply
    168,400x = 243,288 × 243,288
  4. Step 4: Simplify right side
    168,400x = 59,189,050,944
  5. Step 5: Solve for x
    x = 59,189,050,944/168,400
  6. Step 6: Final answer
    x = 351,478.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.