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Finding the Third Proportional to 145,967 and 219,995

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Solution

The third proportional to 145,967 and 219,995 is: 331,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,967 : 219,995 = 219,995 : x
  2. Step 2: Convert to fraction form
    145,967/219,995 = 219,995/x
  3. Step 3: Cross multiply
    145,967x = 219,995 × 219,995
  4. Step 4: Simplify right side
    145,967x = 48,397,800,025
  5. Step 5: Solve for x
    x = 48,397,800,025/145,967
  6. Step 6: Final answer
    x = 331,566.72

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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.