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Finding the Third Proportional to 136,200 and 225,090

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Solution

The third proportional to 136,200 and 225,090 is: 371,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,200 : 225,090 = 225,090 : x
  2. Step 2: Convert to fraction form
    136,200/225,090 = 225,090/x
  3. Step 3: Cross multiply
    136,200x = 225,090 × 225,090
  4. Step 4: Simplify right side
    136,200x = 50,665,508,100
  5. Step 5: Solve for x
    x = 50,665,508,100/136,200
  6. Step 6: Final answer
    x = 371,993.45

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.