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Finding the Third Proportional to 280,636 and 427,958

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Solution

The third proportional to 280,636 and 427,958 is: 652,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,636 : 427,958 = 427,958 : x
  2. Step 2: Convert to fraction form
    280,636/427,958 = 427,958/x
  3. Step 3: Cross multiply
    280,636x = 427,958 × 427,958
  4. Step 4: Simplify right side
    280,636x = 183,148,049,764
  5. Step 5: Solve for x
    x = 183,148,049,764/280,636
  6. Step 6: Final answer
    x = 652,617.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.