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Finding the Third Proportional to 521.06 and 1,135.50

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Solution

The third proportional to 521.06 and 1,135.50 is: 2,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.06 : 1,135.50 = 1,135.50 : x
  2. Step 2: Convert to fraction form
    521.06/1,135.50 = 1,135.50/x
  3. Step 3: Cross multiply
    521.06x = 1,135.50 × 1,135.50
  4. Step 4: Simplify right side
    521.06x = 1,289,360.25
  5. Step 5: Solve for x
    x = 1,289,360.25/521.06
  6. Step 6: Final answer
    x = 2,474.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.