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Finding the Third Proportional to 275,540 and 425,588

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Solution

The third proportional to 275,540 and 425,588 is: 657,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,540 : 425,588 = 425,588 : x
  2. Step 2: Convert to fraction form
    275,540/425,588 = 425,588/x
  3. Step 3: Cross multiply
    275,540x = 425,588 × 425,588
  4. Step 4: Simplify right side
    275,540x = 181,125,145,744
  5. Step 5: Solve for x
    x = 181,125,145,744/275,540
  6. Step 6: Final answer
    x = 657,346.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.