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Finding the Third Proportional to 212,965.88 and 469,138.50

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Solution

The third proportional to 212,965.88 and 469,138.50 is: 1,033,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,965.88 : 469,138.50 = 469,138.50 : x
  2. Step 2: Convert to fraction form
    212,965.88/469,138.50 = 469,138.50/x
  3. Step 3: Cross multiply
    212,965.88x = 469,138.50 × 469,138.50
  4. Step 4: Simplify right side
    212,965.88x = 220,090,932,182.25
  5. Step 5: Solve for x
    x = 220,090,932,182.25/212,965.88
  6. Step 6: Final answer
    x = 1,033,456.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.