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Finding the Third Proportional to 137,078 and 204,480

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Solution

The third proportional to 137,078 and 204,480 is: 305,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,078 : 204,480 = 204,480 : x
  2. Step 2: Convert to fraction form
    137,078/204,480 = 204,480/x
  3. Step 3: Cross multiply
    137,078x = 204,480 × 204,480
  4. Step 4: Simplify right side
    137,078x = 41,812,070,400
  5. Step 5: Solve for x
    x = 41,812,070,400/137,078
  6. Step 6: Final answer
    x = 305,023.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.