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Finding the Third Proportional to 118,362 and 159,967

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Solution

The third proportional to 118,362 and 159,967 is: 216,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,362 : 159,967 = 159,967 : x
  2. Step 2: Convert to fraction form
    118,362/159,967 = 159,967/x
  3. Step 3: Cross multiply
    118,362x = 159,967 × 159,967
  4. Step 4: Simplify right side
    118,362x = 25,589,441,089
  5. Step 5: Solve for x
    x = 25,589,441,089/118,362
  6. Step 6: Final answer
    x = 216,196.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.