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Finding the Third Proportional to 221,586 and 343,758

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Solution

The third proportional to 221,586 and 343,758 is: 533,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,586 : 343,758 = 343,758 : x
  2. Step 2: Convert to fraction form
    221,586/343,758 = 343,758/x
  3. Step 3: Cross multiply
    221,586x = 343,758 × 343,758
  4. Step 4: Simplify right side
    221,586x = 118,169,562,564
  5. Step 5: Solve for x
    x = 118,169,562,564/221,586
  6. Step 6: Final answer
    x = 533,289.84

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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.