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Finding the Third Proportional to 168,416 and 243,312

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Solution

The third proportional to 168,416 and 243,312 is: 351,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,416 : 243,312 = 243,312 : x
  2. Step 2: Convert to fraction form
    168,416/243,312 = 243,312/x
  3. Step 3: Cross multiply
    168,416x = 243,312 × 243,312
  4. Step 4: Simplify right side
    168,416x = 59,200,729,344
  5. Step 5: Solve for x
    x = 59,200,729,344/168,416
  6. Step 6: Final answer
    x = 351,514.88

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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.