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Finding the Third Proportional to 72,979 and 157,212.50

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Solution

The third proportional to 72,979 and 157,212.50 is: 338,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,979 : 157,212.50 = 157,212.50 : x
  2. Step 2: Convert to fraction form
    72,979/157,212.50 = 157,212.50/x
  3. Step 3: Cross multiply
    72,979x = 157,212.50 × 157,212.50
  4. Step 4: Simplify right side
    72,979x = 24,715,770,156.25
  5. Step 5: Solve for x
    x = 24,715,770,156.25/72,979
  6. Step 6: Final answer
    x = 338,669.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.