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Finding the Third Proportional to 288,563 and 431,229

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Solution

The third proportional to 288,563 and 431,229 is: 644,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,563 : 431,229 = 431,229 : x
  2. Step 2: Convert to fraction form
    288,563/431,229 = 431,229/x
  3. Step 3: Cross multiply
    288,563x = 431,229 × 431,229
  4. Step 4: Simplify right side
    288,563x = 185,958,450,441
  5. Step 5: Solve for x
    x = 185,958,450,441/288,563
  6. Step 6: Final answer
    x = 644,429.29

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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.