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Finding the Third Proportional to 112,878 and 240,756

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Solution

The third proportional to 112,878 and 240,756 is: 513,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,878 : 240,756 = 240,756 : x
  2. Step 2: Convert to fraction form
    112,878/240,756 = 240,756/x
  3. Step 3: Cross multiply
    112,878x = 240,756 × 240,756
  4. Step 4: Simplify right side
    112,878x = 57,963,451,536
  5. Step 5: Solve for x
    x = 57,963,451,536/112,878
  6. Step 6: Final answer
    x = 513,505.30

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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.