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Finding the Third Proportional to 280,101 and 420,351

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Solution

The third proportional to 280,101 and 420,351 is: 630,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,101 : 420,351 = 420,351 : x
  2. Step 2: Convert to fraction form
    280,101/420,351 = 420,351/x
  3. Step 3: Cross multiply
    280,101x = 420,351 × 420,351
  4. Step 4: Simplify right side
    280,101x = 176,694,963,201
  5. Step 5: Solve for x
    x = 176,694,963,201/280,101
  6. Step 6: Final answer
    x = 630,825.89

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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.