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Finding the Third Proportional to 221,588 and 343,761

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Solution

The third proportional to 221,588 and 343,761 is: 533,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,588 : 343,761 = 343,761 : x
  2. Step 2: Convert to fraction form
    221,588/343,761 = 343,761/x
  3. Step 3: Cross multiply
    221,588x = 343,761 × 343,761
  4. Step 4: Simplify right side
    221,588x = 118,171,625,121
  5. Step 5: Solve for x
    x = 118,171,625,121/221,588
  6. Step 6: Final answer
    x = 533,294.34

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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.