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Finding the Third Proportional to 1,780.03 and 3,895.17

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Solution

The third proportional to 1,780.03 and 3,895.17 is: 8,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.03 : 3,895.17 = 3,895.17 : x
  2. Step 2: Convert to fraction form
    1,780.03/3,895.17 = 3,895.17/x
  3. Step 3: Cross multiply
    1,780.03x = 3,895.17 × 3,895.17
  4. Step 4: Simplify right side
    1,780.03x = 15,172,363.94
  5. Step 5: Solve for x
    x = 15,172,363.94/1,780.03
  6. Step 6: Final answer
    x = 8,523.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.