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Finding the Third Proportional to 221,469 and 343,579

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Solution

The third proportional to 221,469 and 343,579 is: 533,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,469 : 343,579 = 343,579 : x
  2. Step 2: Convert to fraction form
    221,469/343,579 = 343,579/x
  3. Step 3: Cross multiply
    221,469x = 343,579 × 343,579
  4. Step 4: Simplify right side
    221,469x = 118,046,529,241
  5. Step 5: Solve for x
    x = 118,046,529,241/221,469
  6. Step 6: Final answer
    x = 533,016.04

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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.