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Finding the Third Proportional to 312,427.13 and 682,002.28

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Solution

The third proportional to 312,427.13 and 682,002.28 is: 1,488,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,427.13 : 682,002.28 = 682,002.28 : x
  2. Step 2: Convert to fraction form
    312,427.13/682,002.28 = 682,002.28/x
  3. Step 3: Cross multiply
    312,427.13x = 682,002.28 × 682,002.28
  4. Step 4: Simplify right side
    312,427.13x = 465,127,111,630.20
  5. Step 5: Solve for x
    x = 465,127,111,630.20/312,427.13
  6. Step 6: Final answer
    x = 1,488,753.93

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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.