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Finding the Third Proportional to 275,501 and 425,719

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Solution

The third proportional to 275,501 and 425,719 is: 657,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,501 : 425,719 = 425,719 : x
  2. Step 2: Convert to fraction form
    275,501/425,719 = 425,719/x
  3. Step 3: Cross multiply
    275,501x = 425,719 × 425,719
  4. Step 4: Simplify right side
    275,501x = 181,236,666,961
  5. Step 5: Solve for x
    x = 181,236,666,961/275,501
  6. Step 6: Final answer
    x = 657,843.95

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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.