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Finding the Third Proportional to 289,864 and 627,979

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Solution

The third proportional to 289,864 and 627,979 is: 1,360,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,864 : 627,979 = 627,979 : x
  2. Step 2: Convert to fraction form
    289,864/627,979 = 627,979/x
  3. Step 3: Cross multiply
    289,864x = 627,979 × 627,979
  4. Step 4: Simplify right side
    289,864x = 394,357,624,441
  5. Step 5: Solve for x
    x = 394,357,624,441/289,864
  6. Step 6: Final answer
    x = 1,360,491.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.