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Finding the Third Proportional to 275,505 and 425,540

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Solution

The third proportional to 275,505 and 425,540 is: 657,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,505 : 425,540 = 425,540 : x
  2. Step 2: Convert to fraction form
    275,505/425,540 = 425,540/x
  3. Step 3: Cross multiply
    275,505x = 425,540 × 425,540
  4. Step 4: Simplify right side
    275,505x = 181,084,291,600
  5. Step 5: Solve for x
    x = 181,084,291,600/275,505
  6. Step 6: Final answer
    x = 657,281.33

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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.