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Finding the Third Proportional to 221,956 and 340,386

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Solution

The third proportional to 221,956 and 340,386 is: 522,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,956 : 340,386 = 340,386 : x
  2. Step 2: Convert to fraction form
    221,956/340,386 = 340,386/x
  3. Step 3: Cross multiply
    221,956x = 340,386 × 340,386
  4. Step 4: Simplify right side
    221,956x = 115,862,628,996
  5. Step 5: Solve for x
    x = 115,862,628,996/221,956
  6. Step 6: Final answer
    x = 522,007.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.