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Finding the Third Proportional to 255,589.50 and 386,967

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Solution

The third proportional to 255,589.50 and 386,967 is: 585,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,589.50 : 386,967 = 386,967 : x
  2. Step 2: Convert to fraction form
    255,589.50/386,967 = 386,967/x
  3. Step 3: Cross multiply
    255,589.50x = 386,967 × 386,967
  4. Step 4: Simplify right side
    255,589.50x = 149,743,459,089
  5. Step 5: Solve for x
    x = 149,743,459,089/255,589.50
  6. Step 6: Final answer
    x = 585,874.85

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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.