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Finding the Third Proportional to 1,780.73 and 3,869.02

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Solution

The third proportional to 1,780.73 and 3,869.02 is: 8,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.73 : 3,869.02 = 3,869.02 : x
  2. Step 2: Convert to fraction form
    1,780.73/3,869.02 = 3,869.02/x
  3. Step 3: Cross multiply
    1,780.73x = 3,869.02 × 3,869.02
  4. Step 4: Simplify right side
    1,780.73x = 14,969,281.91
  5. Step 5: Solve for x
    x = 14,969,281.91/1,780.73
  6. Step 6: Final answer
    x = 8,406.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.