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Finding the Third Proportional to 1,230.19 and 3,303.28

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Solution

The third proportional to 1,230.19 and 3,303.28 is: 8,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.19 : 3,303.28 = 3,303.28 : x
  2. Step 2: Convert to fraction form
    1,230.19/3,303.28 = 3,303.28/x
  3. Step 3: Cross multiply
    1,230.19x = 3,303.28 × 3,303.28
  4. Step 4: Simplify right side
    1,230.19x = 10,911,667.02
  5. Step 5: Solve for x
    x = 10,911,667.02/1,230.19
  6. Step 6: Final answer
    x = 8,869.92

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.