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Finding the Third Proportional to 783.19 and 1,821.19

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Solution

The third proportional to 783.19 and 1,821.19 is: 4,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.19 : 1,821.19 = 1,821.19 : x
  2. Step 2: Convert to fraction form
    783.19/1,821.19 = 1,821.19/x
  3. Step 3: Cross multiply
    783.19x = 1,821.19 × 1,821.19
  4. Step 4: Simplify right side
    783.19x = 3,316,723.91
  5. Step 5: Solve for x
    x = 3,316,723.91/783.19
  6. Step 6: Final answer
    x = 4,234.90

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.