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Finding the Third Proportional to 77,271 and 161,238

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Solution

The third proportional to 77,271 and 161,238 is: 336,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,271 : 161,238 = 161,238 : x
  2. Step 2: Convert to fraction form
    77,271/161,238 = 161,238/x
  3. Step 3: Cross multiply
    77,271x = 161,238 × 161,238
  4. Step 4: Simplify right side
    77,271x = 25,997,692,644
  5. Step 5: Solve for x
    x = 25,997,692,644/77,271
  6. Step 6: Final answer
    x = 336,448.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.