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Finding the Third Proportional to 406.88 and 904.69

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Solution

The third proportional to 406.88 and 904.69 is: 2,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 904.69 = 904.69 : x
  2. Step 2: Convert to fraction form
    406.88/904.69 = 904.69/x
  3. Step 3: Cross multiply
    406.88x = 904.69 × 904.69
  4. Step 4: Simplify right side
    406.88x = 818,459.47
  5. Step 5: Solve for x
    x = 818,459.47/406.88
  6. Step 6: Final answer
    x = 2,011.57

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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.