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Finding the Third Proportional to 1,102.36 and 1,688.66

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Solution

The third proportional to 1,102.36 and 1,688.66 is: 2,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.36 : 1,688.66 = 1,688.66 : x
  2. Step 2: Convert to fraction form
    1,102.36/1,688.66 = 1,688.66/x
  3. Step 3: Cross multiply
    1,102.36x = 1,688.66 × 1,688.66
  4. Step 4: Simplify right side
    1,102.36x = 2,851,573.12
  5. Step 5: Solve for x
    x = 2,851,573.12/1,102.36
  6. Step 6: Final answer
    x = 2,586.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.