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Finding the Third Proportional to 221,460 and 343,848

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Solution

The third proportional to 221,460 and 343,848 is: 533,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,460 : 343,848 = 343,848 : x
  2. Step 2: Convert to fraction form
    221,460/343,848 = 343,848/x
  3. Step 3: Cross multiply
    221,460x = 343,848 × 343,848
  4. Step 4: Simplify right side
    221,460x = 118,231,447,104
  5. Step 5: Solve for x
    x = 118,231,447,104/221,460
  6. Step 6: Final answer
    x = 533,872.70

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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.