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Finding the Third Proportional to 280,717 and 431,488

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Solution

The third proportional to 280,717 and 431,488 is: 663,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,717 : 431,488 = 431,488 : x
  2. Step 2: Convert to fraction form
    280,717/431,488 = 431,488/x
  3. Step 3: Cross multiply
    280,717x = 431,488 × 431,488
  4. Step 4: Simplify right side
    280,717x = 186,181,894,144
  5. Step 5: Solve for x
    x = 186,181,894,144/280,717
  6. Step 6: Final answer
    x = 663,236.98

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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.