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Finding the Third Proportional to 1,215 and 2,932.50

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Solution

The third proportional to 1,215 and 2,932.50 is: 7,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215 : 2,932.50 = 2,932.50 : x
  2. Step 2: Convert to fraction form
    1,215/2,932.50 = 2,932.50/x
  3. Step 3: Cross multiply
    1,215x = 2,932.50 × 2,932.50
  4. Step 4: Simplify right side
    1,215x = 8,599,556.25
  5. Step 5: Solve for x
    x = 8,599,556.25/1,215
  6. Step 6: Final answer
    x = 7,077.82

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.