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Finding the Third Proportional to 288,234 and 431,199

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Solution

The third proportional to 288,234 and 431,199 is: 645,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,234 : 431,199 = 431,199 : x
  2. Step 2: Convert to fraction form
    288,234/431,199 = 431,199/x
  3. Step 3: Cross multiply
    288,234x = 431,199 × 431,199
  4. Step 4: Simplify right side
    288,234x = 185,932,577,601
  5. Step 5: Solve for x
    x = 185,932,577,601/288,234
  6. Step 6: Final answer
    x = 645,075.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.