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Finding the Third Proportional to 222,577.88 and 345,161.25

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Solution

The third proportional to 222,577.88 and 345,161.25 is: 535,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,577.88 : 345,161.25 = 345,161.25 : x
  2. Step 2: Convert to fraction form
    222,577.88/345,161.25 = 345,161.25/x
  3. Step 3: Cross multiply
    222,577.88x = 345,161.25 × 345,161.25
  4. Step 4: Simplify right side
    222,577.88x = 119,136,288,501.56
  5. Step 5: Solve for x
    x = 119,136,288,501.56/222,577.88
  6. Step 6: Final answer
    x = 535,256.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.