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Finding the Third Proportional to 73,489 and 158,643

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Solution

The third proportional to 73,489 and 158,643 is: 342,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,489 : 158,643 = 158,643 : x
  2. Step 2: Convert to fraction form
    73,489/158,643 = 158,643/x
  3. Step 3: Cross multiply
    73,489x = 158,643 × 158,643
  4. Step 4: Simplify right side
    73,489x = 25,167,601,449
  5. Step 5: Solve for x
    x = 25,167,601,449/73,489
  6. Step 6: Final answer
    x = 342,467.60

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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.