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Finding the Third Proportional to 215,821.50 and 469,958.25

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Solution

The third proportional to 215,821.50 and 469,958.25 is: 1,023,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,821.50 : 469,958.25 = 469,958.25 : x
  2. Step 2: Convert to fraction form
    215,821.50/469,958.25 = 469,958.25/x
  3. Step 3: Cross multiply
    215,821.50x = 469,958.25 × 469,958.25
  4. Step 4: Simplify right side
    215,821.50x = 220,860,756,743.06
  5. Step 5: Solve for x
    x = 220,860,756,743.06/215,821.50
  6. Step 6: Final answer
    x = 1,023,349.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.