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Finding the Third Proportional to 72,612 and 157,286

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Solution

The third proportional to 72,612 and 157,286 is: 340,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,612 : 157,286 = 157,286 : x
  2. Step 2: Convert to fraction form
    72,612/157,286 = 157,286/x
  3. Step 3: Cross multiply
    72,612x = 157,286 × 157,286
  4. Step 4: Simplify right side
    72,612x = 24,738,885,796
  5. Step 5: Solve for x
    x = 24,738,885,796/72,612
  6. Step 6: Final answer
    x = 340,699.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.