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Finding the Third Proportional to 178,434 and 262,721

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Solution

The third proportional to 178,434 and 262,721 is: 386,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434 : 262,721 = 262,721 : x
  2. Step 2: Convert to fraction form
    178,434/262,721 = 262,721/x
  3. Step 3: Cross multiply
    178,434x = 262,721 × 262,721
  4. Step 4: Simplify right side
    178,434x = 69,022,323,841
  5. Step 5: Solve for x
    x = 69,022,323,841/178,434
  6. Step 6: Final answer
    x = 386,822.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.