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Finding the Third Proportional to 255,314 and 389,883

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Solution

The third proportional to 255,314 and 389,883 is: 595,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,314 : 389,883 = 389,883 : x
  2. Step 2: Convert to fraction form
    255,314/389,883 = 389,883/x
  3. Step 3: Cross multiply
    255,314x = 389,883 × 389,883
  4. Step 4: Simplify right side
    255,314x = 152,008,753,689
  5. Step 5: Solve for x
    x = 152,008,753,689/255,314
  6. Step 6: Final answer
    x = 595,379.63

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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.