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Finding the Third Proportional to 1,219.13 and 1,602.56

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Solution

The third proportional to 1,219.13 and 1,602.56 is: 2,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.13 : 1,602.56 = 1,602.56 : x
  2. Step 2: Convert to fraction form
    1,219.13/1,602.56 = 1,602.56/x
  3. Step 3: Cross multiply
    1,219.13x = 1,602.56 × 1,602.56
  4. Step 4: Simplify right side
    1,219.13x = 2,568,206.57
  5. Step 5: Solve for x
    x = 2,568,206.57/1,219.13
  6. Step 6: Final answer
    x = 2,106.60

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.