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Finding the Third Proportional to 181,406 and 272,806

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Solution

The third proportional to 181,406 and 272,806 is: 410,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,406 : 272,806 = 272,806 : x
  2. Step 2: Convert to fraction form
    181,406/272,806 = 272,806/x
  3. Step 3: Cross multiply
    181,406x = 272,806 × 272,806
  4. Step 4: Simplify right side
    181,406x = 74,423,113,636
  5. Step 5: Solve for x
    x = 74,423,113,636/181,406
  6. Step 6: Final answer
    x = 410,257.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.