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Finding the Third Proportional to 155,765 and 338,868

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Solution

The third proportional to 155,765 and 338,868 is: 737,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,765 : 338,868 = 338,868 : x
  2. Step 2: Convert to fraction form
    155,765/338,868 = 338,868/x
  3. Step 3: Cross multiply
    155,765x = 338,868 × 338,868
  4. Step 4: Simplify right side
    155,765x = 114,831,521,424
  5. Step 5: Solve for x
    x = 114,831,521,424/155,765
  6. Step 6: Final answer
    x = 737,210.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.