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Finding the Third Proportional to 339,976 and 530,660

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Solution

The third proportional to 339,976 and 530,660 is: 828,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,976 : 530,660 = 530,660 : x
  2. Step 2: Convert to fraction form
    339,976/530,660 = 530,660/x
  3. Step 3: Cross multiply
    339,976x = 530,660 × 530,660
  4. Step 4: Simplify right side
    339,976x = 281,600,035,600
  5. Step 5: Solve for x
    x = 281,600,035,600/339,976
  6. Step 6: Final answer
    x = 828,293.87

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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.