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Finding the Third Proportional to 144,387 and 222,219

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Solution

The third proportional to 144,387 and 222,219 is: 342,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,387 : 222,219 = 222,219 : x
  2. Step 2: Convert to fraction form
    144,387/222,219 = 222,219/x
  3. Step 3: Cross multiply
    144,387x = 222,219 × 222,219
  4. Step 4: Simplify right side
    144,387x = 49,381,283,961
  5. Step 5: Solve for x
    x = 49,381,283,961/144,387
  6. Step 6: Final answer
    x = 342,006.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.