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Finding the Third Proportional to 761.34 and 919.41

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Solution

The third proportional to 761.34 and 919.41 is: 1,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.34 : 919.41 = 919.41 : x
  2. Step 2: Convert to fraction form
    761.34/919.41 = 919.41/x
  3. Step 3: Cross multiply
    761.34x = 919.41 × 919.41
  4. Step 4: Simplify right side
    761.34x = 845,307.85
  5. Step 5: Solve for x
    x = 845,307.85/761.34
  6. Step 6: Final answer
    x = 1,110.28

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.