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Finding the Third Proportional to 168,840 and 357,282

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Solution

The third proportional to 168,840 and 357,282 is: 756,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,840 : 357,282 = 357,282 : x
  2. Step 2: Convert to fraction form
    168,840/357,282 = 357,282/x
  3. Step 3: Cross multiply
    168,840x = 357,282 × 357,282
  4. Step 4: Simplify right side
    168,840x = 127,650,427,524
  5. Step 5: Solve for x
    x = 127,650,427,524/168,840
  6. Step 6: Final answer
    x = 756,043.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.