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Finding the Third Proportional to 203,476 and 425,540

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Solution

The third proportional to 203,476 and 425,540 is: 889,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476 : 425,540 = 425,540 : x
  2. Step 2: Convert to fraction form
    203,476/425,540 = 425,540/x
  3. Step 3: Cross multiply
    203,476x = 425,540 × 425,540
  4. Step 4: Simplify right side
    203,476x = 181,084,291,600
  5. Step 5: Solve for x
    x = 181,084,291,600/203,476
  6. Step 6: Final answer
    x = 889,954.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.