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Finding the Third Proportional to 409.92 and 760.08

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Solution

The third proportional to 409.92 and 760.08 is: 1,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 760.08 = 760.08 : x
  2. Step 2: Convert to fraction form
    409.92/760.08 = 760.08/x
  3. Step 3: Cross multiply
    409.92x = 760.08 × 760.08
  4. Step 4: Simplify right side
    409.92x = 577,718.76
  5. Step 5: Solve for x
    x = 577,718.76/409.92
  6. Step 6: Final answer
    x = 1,409.34

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.