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Finding the Third Proportional to 67,343 and 146,509

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Solution

The third proportional to 67,343 and 146,509 is: 318,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,343 : 146,509 = 146,509 : x
  2. Step 2: Convert to fraction form
    67,343/146,509 = 146,509/x
  3. Step 3: Cross multiply
    67,343x = 146,509 × 146,509
  4. Step 4: Simplify right side
    67,343x = 21,464,887,081
  5. Step 5: Solve for x
    x = 21,464,887,081/67,343
  6. Step 6: Final answer
    x = 318,739.69

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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.