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Finding the Third Proportional to 1,319.84 and 2,842.80

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Solution

The third proportional to 1,319.84 and 2,842.80 is: 6,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.84 : 2,842.80 = 2,842.80 : x
  2. Step 2: Convert to fraction form
    1,319.84/2,842.80 = 2,842.80/x
  3. Step 3: Cross multiply
    1,319.84x = 2,842.80 × 2,842.80
  4. Step 4: Simplify right side
    1,319.84x = 8,081,538.49
  5. Step 5: Solve for x
    x = 8,081,538.49/1,319.84
  6. Step 6: Final answer
    x = 6,123.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.