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Finding the Third Proportional to 131,967 and 287,750

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Solution

The third proportional to 131,967 and 287,750 is: 627,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,967 : 287,750 = 287,750 : x
  2. Step 2: Convert to fraction form
    131,967/287,750 = 287,750/x
  3. Step 3: Cross multiply
    131,967x = 287,750 × 287,750
  4. Step 4: Simplify right side
    131,967x = 82,800,062,500
  5. Step 5: Solve for x
    x = 82,800,062,500/131,967
  6. Step 6: Final answer
    x = 627,430.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.