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Finding the Third Proportional to 168,878 and 360,340

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Solution

The third proportional to 168,878 and 360,340 is: 768,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,878 : 360,340 = 360,340 : x
  2. Step 2: Convert to fraction form
    168,878/360,340 = 360,340/x
  3. Step 3: Cross multiply
    168,878x = 360,340 × 360,340
  4. Step 4: Simplify right side
    168,878x = 129,844,915,600
  5. Step 5: Solve for x
    x = 129,844,915,600/168,878
  6. Step 6: Final answer
    x = 768,868.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.