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Finding the Third Proportional to 89,292 and 135,090

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Solution

The third proportional to 89,292 and 135,090 is: 204,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,292 : 135,090 = 135,090 : x
  2. Step 2: Convert to fraction form
    89,292/135,090 = 135,090/x
  3. Step 3: Cross multiply
    89,292x = 135,090 × 135,090
  4. Step 4: Simplify right side
    89,292x = 18,249,308,100
  5. Step 5: Solve for x
    x = 18,249,308,100/89,292
  6. Step 6: Final answer
    x = 204,377.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.