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Finding the Third Proportional to 816.19 and 1,780.88

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Solution

The third proportional to 816.19 and 1,780.88 is: 3,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.19 : 1,780.88 = 1,780.88 : x
  2. Step 2: Convert to fraction form
    816.19/1,780.88 = 1,780.88/x
  3. Step 3: Cross multiply
    816.19x = 1,780.88 × 1,780.88
  4. Step 4: Simplify right side
    816.19x = 3,171,515.77
  5. Step 5: Solve for x
    x = 3,171,515.77/816.19
  6. Step 6: Final answer
    x = 3,885.77

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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.