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Finding the Third Proportional to 406.69 and 904.36

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Solution

The third proportional to 406.69 and 904.36 is: 2,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 904.36 = 904.36 : x
  2. Step 2: Convert to fraction form
    406.69/904.36 = 904.36/x
  3. Step 3: Cross multiply
    406.69x = 904.36 × 904.36
  4. Step 4: Simplify right side
    406.69x = 817,865.88
  5. Step 5: Solve for x
    x = 817,865.88/406.69
  6. Step 6: Final answer
    x = 2,011.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.