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Finding the Third Proportional to 221,402 and 343,767

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Solution

The third proportional to 221,402 and 343,767 is: 533,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,402 : 343,767 = 343,767 : x
  2. Step 2: Convert to fraction form
    221,402/343,767 = 343,767/x
  3. Step 3: Cross multiply
    221,402x = 343,767 × 343,767
  4. Step 4: Simplify right side
    221,402x = 118,175,750,289
  5. Step 5: Solve for x
    x = 118,175,750,289/221,402
  6. Step 6: Final answer
    x = 533,760.99

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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.