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Finding the Third Proportional to 72,455 and 155,622

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Solution

The third proportional to 72,455 and 155,622 is: 334,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,455 : 155,622 = 155,622 : x
  2. Step 2: Convert to fraction form
    72,455/155,622 = 155,622/x
  3. Step 3: Cross multiply
    72,455x = 155,622 × 155,622
  4. Step 4: Simplify right side
    72,455x = 24,218,206,884
  5. Step 5: Solve for x
    x = 24,218,206,884/72,455
  6. Step 6: Final answer
    x = 334,251.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.