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Finding the Third Proportional to 1,102.99 and 1,628.86

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Solution

The third proportional to 1,102.99 and 1,628.86 is: 2,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.99 : 1,628.86 = 1,628.86 : x
  2. Step 2: Convert to fraction form
    1,102.99/1,628.86 = 1,628.86/x
  3. Step 3: Cross multiply
    1,102.99x = 1,628.86 × 1,628.86
  4. Step 4: Simplify right side
    1,102.99x = 2,653,182.86
  5. Step 5: Solve for x
    x = 2,653,182.86/1,102.99
  6. Step 6: Final answer
    x = 2,405.44

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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.