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Finding the Third Proportional to 57,910 and 91,771

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Solution

The third proportional to 57,910 and 91,771 is: 145,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,910 : 91,771 = 91,771 : x
  2. Step 2: Convert to fraction form
    57,910/91,771 = 91,771/x
  3. Step 3: Cross multiply
    57,910x = 91,771 × 91,771
  4. Step 4: Simplify right side
    57,910x = 8,421,916,441
  5. Step 5: Solve for x
    x = 8,421,916,441/57,910
  6. Step 6: Final answer
    x = 145,431.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.