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Finding the Third Proportional to 221,566 and 343,728

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Solution

The third proportional to 221,566 and 343,728 is: 533,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,566 : 343,728 = 343,728 : x
  2. Step 2: Convert to fraction form
    221,566/343,728 = 343,728/x
  3. Step 3: Cross multiply
    221,566x = 343,728 × 343,728
  4. Step 4: Simplify right side
    221,566x = 118,148,937,984
  5. Step 5: Solve for x
    x = 118,148,937,984/221,566
  6. Step 6: Final answer
    x = 533,244.89

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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.