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Finding the Third Proportional to 627.84 and 1,346.81

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Solution

The third proportional to 627.84 and 1,346.81 is: 2,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 1,346.81 = 1,346.81 : x
  2. Step 2: Convert to fraction form
    627.84/1,346.81 = 1,346.81/x
  3. Step 3: Cross multiply
    627.84x = 1,346.81 × 1,346.81
  4. Step 4: Simplify right side
    627.84x = 1,813,903.91
  5. Step 5: Solve for x
    x = 1,813,903.91/627.84
  6. Step 6: Final answer
    x = 2,889.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.