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Finding the Third Proportional to 220,945 and 345,634.50

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Solution

The third proportional to 220,945 and 345,634.50 is: 540,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,945 : 345,634.50 = 345,634.50 : x
  2. Step 2: Convert to fraction form
    220,945/345,634.50 = 345,634.50/x
  3. Step 3: Cross multiply
    220,945x = 345,634.50 × 345,634.50
  4. Step 4: Simplify right side
    220,945x = 119,463,207,590.25
  5. Step 5: Solve for x
    x = 119,463,207,590.25/220,945
  6. Step 6: Final answer
    x = 540,692.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.