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Finding the Third Proportional to 406.47 and 904.17

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Solution

The third proportional to 406.47 and 904.17 is: 2,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.47 : 904.17 = 904.17 : x
  2. Step 2: Convert to fraction form
    406.47/904.17 = 904.17/x
  3. Step 3: Cross multiply
    406.47x = 904.17 × 904.17
  4. Step 4: Simplify right side
    406.47x = 817,526.78
  5. Step 5: Solve for x
    x = 817,526.78/406.47
  6. Step 6: Final answer
    x = 2,011.29

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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.