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Finding the Third Proportional to 144,098 and 215,571

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Solution

The third proportional to 144,098 and 215,571 is: 322,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,098 : 215,571 = 215,571 : x
  2. Step 2: Convert to fraction form
    144,098/215,571 = 215,571/x
  3. Step 3: Cross multiply
    144,098x = 215,571 × 215,571
  4. Step 4: Simplify right side
    144,098x = 46,470,856,041
  5. Step 5: Solve for x
    x = 46,470,856,041/144,098
  6. Step 6: Final answer
    x = 322,494.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.