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Finding the Third Proportional to 222,759 and 345,316.50

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Solution

The third proportional to 222,759 and 345,316.50 is: 535,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,759 : 345,316.50 = 345,316.50 : x
  2. Step 2: Convert to fraction form
    222,759/345,316.50 = 345,316.50/x
  3. Step 3: Cross multiply
    222,759x = 345,316.50 × 345,316.50
  4. Step 4: Simplify right side
    222,759x = 119,243,485,172.25
  5. Step 5: Solve for x
    x = 119,243,485,172.25/222,759
  6. Step 6: Final answer
    x = 535,302.66

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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.