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Finding the Third Proportional to 269,459 and 374,657

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Solution

The third proportional to 269,459 and 374,657 is: 520,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,459 : 374,657 = 374,657 : x
  2. Step 2: Convert to fraction form
    269,459/374,657 = 374,657/x
  3. Step 3: Cross multiply
    269,459x = 374,657 × 374,657
  4. Step 4: Simplify right side
    269,459x = 140,367,867,649
  5. Step 5: Solve for x
    x = 140,367,867,649/269,459
  6. Step 6: Final answer
    x = 520,924.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.