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Finding the Third Proportional to 181,238 and 426,459

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Solution

The third proportional to 181,238 and 426,459 is: 1,003,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,238 : 426,459 = 426,459 : x
  2. Step 2: Convert to fraction form
    181,238/426,459 = 426,459/x
  3. Step 3: Cross multiply
    181,238x = 426,459 × 426,459
  4. Step 4: Simplify right side
    181,238x = 181,867,278,681
  5. Step 5: Solve for x
    x = 181,867,278,681/181,238
  6. Step 6: Final answer
    x = 1,003,472.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.