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Finding the Third Proportional to 754.50 and 1,092.84

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Solution

The third proportional to 754.50 and 1,092.84 is: 1,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.50 : 1,092.84 = 1,092.84 : x
  2. Step 2: Convert to fraction form
    754.50/1,092.84 = 1,092.84/x
  3. Step 3: Cross multiply
    754.50x = 1,092.84 × 1,092.84
  4. Step 4: Simplify right side
    754.50x = 1,194,307.46
  5. Step 5: Solve for x
    x = 1,194,307.46/754.50
  6. Step 6: Final answer
    x = 1,582.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.