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Finding the Third Proportional to 411.84 and 602.34

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Solution

The third proportional to 411.84 and 602.34 is: 880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 602.34 = 602.34 : x
  2. Step 2: Convert to fraction form
    411.84/602.34 = 602.34/x
  3. Step 3: Cross multiply
    411.84x = 602.34 × 602.34
  4. Step 4: Simplify right side
    411.84x = 362,817.99
  5. Step 5: Solve for x
    x = 362,817.99/411.84
  6. Step 6: Final answer
    x = 880.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.