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Finding the Third Proportional to 45,440 and 92,720

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Solution

The third proportional to 45,440 and 92,720 is: 189,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,440 : 92,720 = 92,720 : x
  2. Step 2: Convert to fraction form
    45,440/92,720 = 92,720/x
  3. Step 3: Cross multiply
    45,440x = 92,720 × 92,720
  4. Step 4: Simplify right side
    45,440x = 8,596,998,400
  5. Step 5: Solve for x
    x = 8,596,998,400/45,440
  6. Step 6: Final answer
    x = 189,194.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.