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Finding the Third Proportional to 255,589 and 386,966

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Solution

The third proportional to 255,589 and 386,966 is: 585,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,589 : 386,966 = 386,966 : x
  2. Step 2: Convert to fraction form
    255,589/386,966 = 386,966/x
  3. Step 3: Cross multiply
    255,589x = 386,966 × 386,966
  4. Step 4: Simplify right side
    255,589x = 149,742,685,156
  5. Step 5: Solve for x
    x = 149,742,685,156/255,589
  6. Step 6: Final answer
    x = 585,872.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.