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Finding the Third Proportional to 627.20 and 939.01

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Solution

The third proportional to 627.20 and 939.01 is: 1,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.20 : 939.01 = 939.01 : x
  2. Step 2: Convert to fraction form
    627.20/939.01 = 939.01/x
  3. Step 3: Cross multiply
    627.20x = 939.01 × 939.01
  4. Step 4: Simplify right side
    627.20x = 881,748.51
  5. Step 5: Solve for x
    x = 881,748.51/627.20
  6. Step 6: Final answer
    x = 1,405.86

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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.