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Finding the Third Proportional to 505.17 and 1,089.98

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Solution

The third proportional to 505.17 and 1,089.98 is: 2,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.17 : 1,089.98 = 1,089.98 : x
  2. Step 2: Convert to fraction form
    505.17/1,089.98 = 1,089.98/x
  3. Step 3: Cross multiply
    505.17x = 1,089.98 × 1,089.98
  4. Step 4: Simplify right side
    505.17x = 1,188,065.94
  5. Step 5: Solve for x
    x = 1,188,065.94/505.17
  6. Step 6: Final answer
    x = 2,351.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.