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Finding the Third Proportional to 72,369 and 155,121

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Solution

The third proportional to 72,369 and 155,121 is: 332,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,369 : 155,121 = 155,121 : x
  2. Step 2: Convert to fraction form
    72,369/155,121 = 155,121/x
  3. Step 3: Cross multiply
    72,369x = 155,121 × 155,121
  4. Step 4: Simplify right side
    72,369x = 24,062,524,641
  5. Step 5: Solve for x
    x = 24,062,524,641/72,369
  6. Step 6: Final answer
    x = 332,497.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.