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Finding the Third Proportional to 280,327 and 420,403

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Solution

The third proportional to 280,327 and 420,403 is: 630,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,327 : 420,403 = 420,403 : x
  2. Step 2: Convert to fraction form
    280,327/420,403 = 420,403/x
  3. Step 3: Cross multiply
    280,327x = 420,403 × 420,403
  4. Step 4: Simplify right side
    280,327x = 176,738,682,409
  5. Step 5: Solve for x
    x = 176,738,682,409/280,327
  6. Step 6: Final answer
    x = 630,473.28

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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.