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Finding the Third Proportional to 144,382 and 222,211.50

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Solution

The third proportional to 144,382 and 222,211.50 is: 341,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,382 : 222,211.50 = 222,211.50 : x
  2. Step 2: Convert to fraction form
    144,382/222,211.50 = 222,211.50/x
  3. Step 3: Cross multiply
    144,382x = 222,211.50 × 222,211.50
  4. Step 4: Simplify right side
    144,382x = 49,377,950,732.25
  5. Step 5: Solve for x
    x = 49,377,950,732.25/144,382
  6. Step 6: Final answer
    x = 341,995.20

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