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Finding the Third Proportional to 339,974 and 530,657

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Solution

The third proportional to 339,974 and 530,657 is: 828,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,974 : 530,657 = 530,657 : x
  2. Step 2: Convert to fraction form
    339,974/530,657 = 530,657/x
  3. Step 3: Cross multiply
    339,974x = 530,657 × 530,657
  4. Step 4: Simplify right side
    339,974x = 281,596,851,649
  5. Step 5: Solve for x
    x = 281,596,851,649/339,974
  6. Step 6: Final answer
    x = 828,289.37

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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.