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Finding the Third Proportional to 144,970 and 221,761

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Solution

The third proportional to 144,970 and 221,761 is: 339,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,970 : 221,761 = 221,761 : x
  2. Step 2: Convert to fraction form
    144,970/221,761 = 221,761/x
  3. Step 3: Cross multiply
    144,970x = 221,761 × 221,761
  4. Step 4: Simplify right side
    144,970x = 49,177,941,121
  5. Step 5: Solve for x
    x = 49,177,941,121/144,970
  6. Step 6: Final answer
    x = 339,228.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.