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Finding the Third Proportional to 627.20 and 957.17

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Solution

The third proportional to 627.20 and 957.17 is: 1,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.20 : 957.17 = 957.17 : x
  2. Step 2: Convert to fraction form
    627.20/957.17 = 957.17/x
  3. Step 3: Cross multiply
    627.20x = 957.17 × 957.17
  4. Step 4: Simplify right side
    627.20x = 916,171.46
  5. Step 5: Solve for x
    x = 916,171.46/627.20
  6. Step 6: Final answer
    x = 1,460.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.