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Finding the Third Proportional to 408.75 and 607.69

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Solution

The third proportional to 408.75 and 607.69 is: 903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.75 : 607.69 = 607.69 : x
  2. Step 2: Convert to fraction form
    408.75/607.69 = 607.69/x
  3. Step 3: Cross multiply
    408.75x = 607.69 × 607.69
  4. Step 4: Simplify right side
    408.75x = 369,284.10
  5. Step 5: Solve for x
    x = 369,284.10/408.75
  6. Step 6: Final answer
    x = 903.45

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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.