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Finding the Third Proportional to 406.69 and 904.08

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Solution

The third proportional to 406.69 and 904.08 is: 2,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 904.08 = 904.08 : x
  2. Step 2: Convert to fraction form
    406.69/904.08 = 904.08/x
  3. Step 3: Cross multiply
    406.69x = 904.08 × 904.08
  4. Step 4: Simplify right side
    406.69x = 817,357.26
  5. Step 5: Solve for x
    x = 817,357.26/406.69
  6. Step 6: Final answer
    x = 2,009.79

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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.