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Finding the Third Proportional to 72,991.50 and 157,377

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Solution

The third proportional to 72,991.50 and 157,377 is: 339,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991.50 : 157,377 = 157,377 : x
  2. Step 2: Convert to fraction form
    72,991.50/157,377 = 157,377/x
  3. Step 3: Cross multiply
    72,991.50x = 157,377 × 157,377
  4. Step 4: Simplify right side
    72,991.50x = 24,767,520,129
  5. Step 5: Solve for x
    x = 24,767,520,129/72,991.50
  6. Step 6: Final answer
    x = 339,320.61

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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.