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Finding the Third Proportional to 255,717 and 391,361.63

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Solution

The third proportional to 255,717 and 391,361.63 is: 598,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,717 : 391,361.63 = 391,361.63 : x
  2. Step 2: Convert to fraction form
    255,717/391,361.63 = 391,361.63/x
  3. Step 3: Cross multiply
    255,717x = 391,361.63 × 391,361.63
  4. Step 4: Simplify right side
    255,717x = 153,163,921,522.64
  5. Step 5: Solve for x
    x = 153,163,921,522.64/255,717
  6. Step 6: Final answer
    x = 598,958.70

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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.