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Finding the Third Proportional to 57,467 and 89,207

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Solution

The third proportional to 57,467 and 89,207 is: 138,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,467 : 89,207 = 89,207 : x
  2. Step 2: Convert to fraction form
    57,467/89,207 = 89,207/x
  3. Step 3: Cross multiply
    57,467x = 89,207 × 89,207
  4. Step 4: Simplify right side
    57,467x = 7,957,888,849
  5. Step 5: Solve for x
    x = 7,957,888,849/57,467
  6. Step 6: Final answer
    x = 138,477.54

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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.