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Finding the Third Proportional to 7,275 and 12,028.50

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Solution

The third proportional to 7,275 and 12,028.50 is: 19,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275 : 12,028.50 = 12,028.50 : x
  2. Step 2: Convert to fraction form
    7,275/12,028.50 = 12,028.50/x
  3. Step 3: Cross multiply
    7,275x = 12,028.50 × 12,028.50
  4. Step 4: Simplify right side
    7,275x = 144,684,812.25
  5. Step 5: Solve for x
    x = 144,684,812.25/7,275
  6. Step 6: Final answer
    x = 19,887.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.