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Finding the Third Proportional to 1,384.59 and 3,034.97

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Solution

The third proportional to 1,384.59 and 3,034.97 is: 6,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.59 : 3,034.97 = 3,034.97 : x
  2. Step 2: Convert to fraction form
    1,384.59/3,034.97 = 3,034.97/x
  3. Step 3: Cross multiply
    1,384.59x = 3,034.97 × 3,034.97
  4. Step 4: Simplify right side
    1,384.59x = 9,211,035.31
  5. Step 5: Solve for x
    x = 9,211,035.31/1,384.59
  6. Step 6: Final answer
    x = 6,652.52

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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.