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Finding the Third Proportional to 770.29 and 1,188.90

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Solution

The third proportional to 770.29 and 1,188.90 is: 1,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.29 : 1,188.90 = 1,188.90 : x
  2. Step 2: Convert to fraction form
    770.29/1,188.90 = 1,188.90/x
  3. Step 3: Cross multiply
    770.29x = 1,188.90 × 1,188.90
  4. Step 4: Simplify right side
    770.29x = 1,413,474.85
  5. Step 5: Solve for x
    x = 1,413,474.85/770.29
  6. Step 6: Final answer
    x = 1,834.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.