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Finding the Third Proportional to 280,740 and 431,952

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Solution

The third proportional to 280,740 and 431,952 is: 664,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,740 : 431,952 = 431,952 : x
  2. Step 2: Convert to fraction form
    280,740/431,952 = 431,952/x
  3. Step 3: Cross multiply
    280,740x = 431,952 × 431,952
  4. Step 4: Simplify right side
    280,740x = 186,582,530,304
  5. Step 5: Solve for x
    x = 186,582,530,304/280,740
  6. Step 6: Final answer
    x = 664,609.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.