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Finding the Third Proportional to 387.88 and 1,007.50

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Solution

The third proportional to 387.88 and 1,007.50 is: 2,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.88 : 1,007.50 = 1,007.50 : x
  2. Step 2: Convert to fraction form
    387.88/1,007.50 = 1,007.50/x
  3. Step 3: Cross multiply
    387.88x = 1,007.50 × 1,007.50
  4. Step 4: Simplify right side
    387.88x = 1,015,056.25
  5. Step 5: Solve for x
    x = 1,015,056.25/387.88
  6. Step 6: Final answer
    x = 2,616.97

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.