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Finding the Third Proportional to 409.41 and 612.84

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Solution

The third proportional to 409.41 and 612.84 is: 917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.41 : 612.84 = 612.84 : x
  2. Step 2: Convert to fraction form
    409.41/612.84 = 612.84/x
  3. Step 3: Cross multiply
    409.41x = 612.84 × 612.84
  4. Step 4: Simplify right side
    409.41x = 375,577.46
  5. Step 5: Solve for x
    x = 375,577.46/409.41
  6. Step 6: Final answer
    x = 917.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.