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Finding the Third Proportional to 275,246.44 and 425,394.28

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Solution

The third proportional to 275,246.44 and 425,394.28 is: 657,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,246.44 : 425,394.28 = 425,394.28 : x
  2. Step 2: Convert to fraction form
    275,246.44/425,394.28 = 425,394.28/x
  3. Step 3: Cross multiply
    275,246.44x = 425,394.28 × 425,394.28
  4. Step 4: Simplify right side
    275,246.44x = 180,960,294,520.20
  5. Step 5: Solve for x
    x = 180,960,294,520.20/275,246.44
  6. Step 6: Final answer
    x = 657,448.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.