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Finding the Third Proportional to 158,418 and 344,268

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Solution

The third proportional to 158,418 and 344,268 is: 748,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,418 : 344,268 = 344,268 : x
  2. Step 2: Convert to fraction form
    158,418/344,268 = 344,268/x
  3. Step 3: Cross multiply
    158,418x = 344,268 × 344,268
  4. Step 4: Simplify right side
    158,418x = 118,520,455,824
  5. Step 5: Solve for x
    x = 118,520,455,824/158,418
  6. Step 6: Final answer
    x = 748,150.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.