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Finding the Third Proportional to 221,938.50 and 485,293

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Solution

The third proportional to 221,938.50 and 485,293 is: 1,061,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,938.50 : 485,293 = 485,293 : x
  2. Step 2: Convert to fraction form
    221,938.50/485,293 = 485,293/x
  3. Step 3: Cross multiply
    221,938.50x = 485,293 × 485,293
  4. Step 4: Simplify right side
    221,938.50x = 235,509,295,849
  5. Step 5: Solve for x
    x = 235,509,295,849/221,938.50
  6. Step 6: Final answer
    x = 1,061,146.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.