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Finding the Third Proportional to 220,452 and 340,731

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Solution

The third proportional to 220,452 and 340,731 is: 526,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,452 : 340,731 = 340,731 : x
  2. Step 2: Convert to fraction form
    220,452/340,731 = 340,731/x
  3. Step 3: Cross multiply
    220,452x = 340,731 × 340,731
  4. Step 4: Simplify right side
    220,452x = 116,097,614,361
  5. Step 5: Solve for x
    x = 116,097,614,361/220,452
  6. Step 6: Final answer
    x = 526,634.43

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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.