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Finding the Third Proportional to 73,987 and 159,798

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Solution

The third proportional to 73,987 and 159,798 is: 345,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,987 : 159,798 = 159,798 : x
  2. Step 2: Convert to fraction form
    73,987/159,798 = 159,798/x
  3. Step 3: Cross multiply
    73,987x = 159,798 × 159,798
  4. Step 4: Simplify right side
    73,987x = 25,535,400,804
  5. Step 5: Solve for x
    x = 25,535,400,804/73,987
  6. Step 6: Final answer
    x = 345,133.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.