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Finding the Third Proportional to 1,014.19 and 1,496.81

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Solution

The third proportional to 1,014.19 and 1,496.81 is: 2,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.19 : 1,496.81 = 1,496.81 : x
  2. Step 2: Convert to fraction form
    1,014.19/1,496.81 = 1,496.81/x
  3. Step 3: Cross multiply
    1,014.19x = 1,496.81 × 1,496.81
  4. Step 4: Simplify right side
    1,014.19x = 2,240,447.66
  5. Step 5: Solve for x
    x = 2,240,447.66/1,014.19
  6. Step 6: Final answer
    x = 2,209.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.