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Finding the Third Proportional to 72,307 and 161,215

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Solution

The third proportional to 72,307 and 161,215 is: 359,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,307 : 161,215 = 161,215 : x
  2. Step 2: Convert to fraction form
    72,307/161,215 = 161,215/x
  3. Step 3: Cross multiply
    72,307x = 161,215 × 161,215
  4. Step 4: Simplify right side
    72,307x = 25,990,276,225
  5. Step 5: Solve for x
    x = 25,990,276,225/72,307
  6. Step 6: Final answer
    x = 359,443.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.