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Finding the Third Proportional to 405.98 and 903.23

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Solution

The third proportional to 405.98 and 903.23 is: 2,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.98 : 903.23 = 903.23 : x
  2. Step 2: Convert to fraction form
    405.98/903.23 = 903.23/x
  3. Step 3: Cross multiply
    405.98x = 903.23 × 903.23
  4. Step 4: Simplify right side
    405.98x = 815,832.34
  5. Step 5: Solve for x
    x = 815,832.34/405.98
  6. Step 6: Final answer
    x = 2,009.52

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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.