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Finding the Third Proportional to 280,857 and 430,671

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Solution

The third proportional to 280,857 and 430,671 is: 660,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,857 : 430,671 = 430,671 : x
  2. Step 2: Convert to fraction form
    280,857/430,671 = 430,671/x
  3. Step 3: Cross multiply
    280,857x = 430,671 × 430,671
  4. Step 4: Simplify right side
    280,857x = 185,477,510,241
  5. Step 5: Solve for x
    x = 185,477,510,241/280,857
  6. Step 6: Final answer
    x = 660,398.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.