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Finding the Third Proportional to 40,922 and 85,480

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Solution

The third proportional to 40,922 and 85,480 is: 178,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,922 : 85,480 = 85,480 : x
  2. Step 2: Convert to fraction form
    40,922/85,480 = 85,480/x
  3. Step 3: Cross multiply
    40,922x = 85,480 × 85,480
  4. Step 4: Simplify right side
    40,922x = 7,306,830,400
  5. Step 5: Solve for x
    x = 7,306,830,400/40,922
  6. Step 6: Final answer
    x = 178,555.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.