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Finding the Third Proportional to 181,810 and 372,434

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Solution

The third proportional to 181,810 and 372,434 is: 762,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,810 : 372,434 = 372,434 : x
  2. Step 2: Convert to fraction form
    181,810/372,434 = 372,434/x
  3. Step 3: Cross multiply
    181,810x = 372,434 × 372,434
  4. Step 4: Simplify right side
    181,810x = 138,707,084,356
  5. Step 5: Solve for x
    x = 138,707,084,356/181,810
  6. Step 6: Final answer
    x = 762,923.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.