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Finding the Third Proportional to 400.13 and 904.31

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Solution

The third proportional to 400.13 and 904.31 is: 2,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.13 : 904.31 = 904.31 : x
  2. Step 2: Convert to fraction form
    400.13/904.31 = 904.31/x
  3. Step 3: Cross multiply
    400.13x = 904.31 × 904.31
  4. Step 4: Simplify right side
    400.13x = 817,781.10
  5. Step 5: Solve for x
    x = 817,781.10/400.13
  6. Step 6: Final answer
    x = 2,043.81

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.