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Finding the Third Proportional to 72,804 and 157,992

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Solution

The third proportional to 72,804 and 157,992 is: 342,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,804 : 157,992 = 157,992 : x
  2. Step 2: Convert to fraction form
    72,804/157,992 = 157,992/x
  3. Step 3: Cross multiply
    72,804x = 157,992 × 157,992
  4. Step 4: Simplify right side
    72,804x = 24,961,472,064
  5. Step 5: Solve for x
    x = 24,961,472,064/72,804
  6. Step 6: Final answer
    x = 342,858.53

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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.