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Finding the Third Proportional to 218,408.34 and 469,235.11

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Solution

The third proportional to 218,408.34 and 469,235.11 is: 1,008,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,408.34 : 469,235.11 = 469,235.11 : x
  2. Step 2: Convert to fraction form
    218,408.34/469,235.11 = 469,235.11/x
  3. Step 3: Cross multiply
    218,408.34x = 469,235.11 × 469,235.11
  4. Step 4: Simplify right side
    218,408.34x = 220,181,587,870.17
  5. Step 5: Solve for x
    x = 220,181,587,870.17/218,408.34
  6. Step 6: Final answer
    x = 1,008,118.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.