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Finding the Third Proportional to 72,939.87 and 157,130.82

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Solution

The third proportional to 72,939.87 and 157,130.82 is: 338,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,939.87 : 157,130.82 = 157,130.82 : x
  2. Step 2: Convert to fraction form
    72,939.87/157,130.82 = 157,130.82/x
  3. Step 3: Cross multiply
    72,939.87x = 157,130.82 × 157,130.82
  4. Step 4: Simplify right side
    72,939.87x = 24,690,095,919.66
  5. Step 5: Solve for x
    x = 24,690,095,919.66/72,939.87
  6. Step 6: Final answer
    x = 338,499.33

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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.