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Finding the Third Proportional to 182,121 and 275,721

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Solution

The third proportional to 182,121 and 275,721 is: 417,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,121 : 275,721 = 275,721 : x
  2. Step 2: Convert to fraction form
    182,121/275,721 = 275,721/x
  3. Step 3: Cross multiply
    182,121x = 275,721 × 275,721
  4. Step 4: Simplify right side
    182,121x = 76,022,069,841
  5. Step 5: Solve for x
    x = 76,022,069,841/182,121
  6. Step 6: Final answer
    x = 417,426.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.