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Finding the Third Proportional to 280,521 and 420,672

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Solution

The third proportional to 280,521 and 420,672 is: 630,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,521 : 420,672 = 420,672 : x
  2. Step 2: Convert to fraction form
    280,521/420,672 = 420,672/x
  3. Step 3: Cross multiply
    280,521x = 420,672 × 420,672
  4. Step 4: Simplify right side
    280,521x = 176,964,931,584
  5. Step 5: Solve for x
    x = 176,964,931,584/280,521
  6. Step 6: Final answer
    x = 630,843.79

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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.