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Finding the Third Proportional to 221,679 and 343,954.50

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Solution

The third proportional to 221,679 and 343,954.50 is: 533,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,679 : 343,954.50 = 343,954.50 : x
  2. Step 2: Convert to fraction form
    221,679/343,954.50 = 343,954.50/x
  3. Step 3: Cross multiply
    221,679x = 343,954.50 × 343,954.50
  4. Step 4: Simplify right side
    221,679x = 118,304,698,070.25
  5. Step 5: Solve for x
    x = 118,304,698,070.25/221,679
  6. Step 6: Final answer
    x = 533,675.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.