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Finding the Third Proportional to 70,842 and 145,838

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Solution

The third proportional to 70,842 and 145,838 is: 300,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842 : 145,838 = 145,838 : x
  2. Step 2: Convert to fraction form
    70,842/145,838 = 145,838/x
  3. Step 3: Cross multiply
    70,842x = 145,838 × 145,838
  4. Step 4: Simplify right side
    70,842x = 21,268,722,244
  5. Step 5: Solve for x
    x = 21,268,722,244/70,842
  6. Step 6: Final answer
    x = 300,227.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.