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Finding the Third Proportional to 57,784 and 91,940

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Solution

The third proportional to 57,784 and 91,940 is: 146,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784 : 91,940 = 91,940 : x
  2. Step 2: Convert to fraction form
    57,784/91,940 = 91,940/x
  3. Step 3: Cross multiply
    57,784x = 91,940 × 91,940
  4. Step 4: Simplify right side
    57,784x = 8,452,963,600
  5. Step 5: Solve for x
    x = 8,452,963,600/57,784
  6. Step 6: Final answer
    x = 146,285.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.