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Finding the Third Proportional to 136,868 and 282,920

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Solution

The third proportional to 136,868 and 282,920 is: 584,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,868 : 282,920 = 282,920 : x
  2. Step 2: Convert to fraction form
    136,868/282,920 = 282,920/x
  3. Step 3: Cross multiply
    136,868x = 282,920 × 282,920
  4. Step 4: Simplify right side
    136,868x = 80,043,726,400
  5. Step 5: Solve for x
    x = 80,043,726,400/136,868
  6. Step 6: Final answer
    x = 584,824.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.