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Finding the Third Proportional to 409.11 and 607.97

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Solution

The third proportional to 409.11 and 607.97 is: 903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.11 : 607.97 = 607.97 : x
  2. Step 2: Convert to fraction form
    409.11/607.97 = 607.97/x
  3. Step 3: Cross multiply
    409.11x = 607.97 × 607.97
  4. Step 4: Simplify right side
    409.11x = 369,633.13
  5. Step 5: Solve for x
    x = 369,633.13/409.11
  6. Step 6: Final answer
    x = 903.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.