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Finding the Third Proportional to 217,435.22 and 440,712.84

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Solution

The third proportional to 217,435.22 and 440,712.84 is: 893,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,435.22 : 440,712.84 = 440,712.84 : x
  2. Step 2: Convert to fraction form
    217,435.22/440,712.84 = 440,712.84/x
  3. Step 3: Cross multiply
    217,435.22x = 440,712.84 × 440,712.84
  4. Step 4: Simplify right side
    217,435.22x = 194,227,810,646.21
  5. Step 5: Solve for x
    x = 194,227,810,646.21/217,435.22
  6. Step 6: Final answer
    x = 893,267.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.