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Finding the Third Proportional to 70,910 and 151,206

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Solution

The third proportional to 70,910 and 151,206 is: 322,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,910 : 151,206 = 151,206 : x
  2. Step 2: Convert to fraction form
    70,910/151,206 = 151,206/x
  3. Step 3: Cross multiply
    70,910x = 151,206 × 151,206
  4. Step 4: Simplify right side
    70,910x = 22,863,254,436
  5. Step 5: Solve for x
    x = 22,863,254,436/70,910
  6. Step 6: Final answer
    x = 322,426.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.