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Finding the Third Proportional to 72,800 and 154,348

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Solution

The third proportional to 72,800 and 154,348 is: 327,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,800 : 154,348 = 154,348 : x
  2. Step 2: Convert to fraction form
    72,800/154,348 = 154,348/x
  3. Step 3: Cross multiply
    72,800x = 154,348 × 154,348
  4. Step 4: Simplify right side
    72,800x = 23,823,305,104
  5. Step 5: Solve for x
    x = 23,823,305,104/72,800
  6. Step 6: Final answer
    x = 327,243.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.