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Finding the Third Proportional to 89,205 and 138,420.75

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Solution

The third proportional to 89,205 and 138,420.75 is: 214,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,205 : 138,420.75 = 138,420.75 : x
  2. Step 2: Convert to fraction form
    89,205/138,420.75 = 138,420.75/x
  3. Step 3: Cross multiply
    89,205x = 138,420.75 × 138,420.75
  4. Step 4: Simplify right side
    89,205x = 19,160,304,030.56
  5. Step 5: Solve for x
    x = 19,160,304,030.56/89,205
  6. Step 6: Final answer
    x = 214,789.57

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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.