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Finding the Third Proportional to 220,956 and 345,645

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Solution

The third proportional to 220,956 and 345,645 is: 540,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,956 : 345,645 = 345,645 : x
  2. Step 2: Convert to fraction form
    220,956/345,645 = 345,645/x
  3. Step 3: Cross multiply
    220,956x = 345,645 × 345,645
  4. Step 4: Simplify right side
    220,956x = 119,470,466,025
  5. Step 5: Solve for x
    x = 119,470,466,025/220,956
  6. Step 6: Final answer
    x = 540,697.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.