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Finding the Third Proportional to 280,190 and 420,345

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Solution

The third proportional to 280,190 and 420,345 is: 630,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,190 : 420,345 = 420,345 : x
  2. Step 2: Convert to fraction form
    280,190/420,345 = 420,345/x
  3. Step 3: Cross multiply
    280,190x = 420,345 × 420,345
  4. Step 4: Simplify right side
    280,190x = 176,689,919,025
  5. Step 5: Solve for x
    x = 176,689,919,025/280,190
  6. Step 6: Final answer
    x = 630,607.51

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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.