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Finding the Third Proportional to 72,982.94 and 157,220.38

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Solution

The third proportional to 72,982.94 and 157,220.38 is: 338,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,982.94 : 157,220.38 = 157,220.38 : x
  2. Step 2: Convert to fraction form
    72,982.94/157,220.38 = 157,220.38/x
  3. Step 3: Cross multiply
    72,982.94x = 157,220.38 × 157,220.38
  4. Step 4: Simplify right side
    72,982.94x = 24,718,246,315.14
  5. Step 5: Solve for x
    x = 24,718,246,315.14/72,982.94
  6. Step 6: Final answer
    x = 338,685.28

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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.