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Finding the Third Proportional to 72,431 and 167,813

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Solution

The third proportional to 72,431 and 167,813 is: 388,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,431 : 167,813 = 167,813 : x
  2. Step 2: Convert to fraction form
    72,431/167,813 = 167,813/x
  3. Step 3: Cross multiply
    72,431x = 167,813 × 167,813
  4. Step 4: Simplify right side
    72,431x = 28,161,202,969
  5. Step 5: Solve for x
    x = 28,161,202,969/72,431
  6. Step 6: Final answer
    x = 388,800.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.