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Finding the Third Proportional to 288,563 and 431,228

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Solution

The third proportional to 288,563 and 431,228 is: 644,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,563 : 431,228 = 431,228 : x
  2. Step 2: Convert to fraction form
    288,563/431,228 = 431,228/x
  3. Step 3: Cross multiply
    288,563x = 431,228 × 431,228
  4. Step 4: Simplify right side
    288,563x = 185,957,587,984
  5. Step 5: Solve for x
    x = 185,957,587,984/288,563
  6. Step 6: Final answer
    x = 644,426.31

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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.