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Finding the Third Proportional to 288,561 and 431,226

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Solution

The third proportional to 288,561 and 431,226 is: 644,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,561 : 431,226 = 431,226 : x
  2. Step 2: Convert to fraction form
    288,561/431,226 = 431,226/x
  3. Step 3: Cross multiply
    288,561x = 431,226 × 431,226
  4. Step 4: Simplify right side
    288,561x = 185,955,863,076
  5. Step 5: Solve for x
    x = 185,955,863,076/288,561
  6. Step 6: Final answer
    x = 644,424.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.