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Finding the Third Proportional to 89,293 and 138,138

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Solution

The third proportional to 89,293 and 138,138 is: 213,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,293 : 138,138 = 138,138 : x
  2. Step 2: Convert to fraction form
    89,293/138,138 = 138,138/x
  3. Step 3: Cross multiply
    89,293x = 138,138 × 138,138
  4. Step 4: Simplify right side
    89,293x = 19,082,107,044
  5. Step 5: Solve for x
    x = 19,082,107,044/89,293
  6. Step 6: Final answer
    x = 213,702.16

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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.