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Finding the Third Proportional to 72,078 and 157,731

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Solution

The third proportional to 72,078 and 157,731 is: 345,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,078 : 157,731 = 157,731 : x
  2. Step 2: Convert to fraction form
    72,078/157,731 = 157,731/x
  3. Step 3: Cross multiply
    72,078x = 157,731 × 157,731
  4. Step 4: Simplify right side
    72,078x = 24,879,068,361
  5. Step 5: Solve for x
    x = 24,879,068,361/72,078
  6. Step 6: Final answer
    x = 345,168.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.