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Finding the Third Proportional to 147,163 and 311,857

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Solution

The third proportional to 147,163 and 311,857 is: 660,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,163 : 311,857 = 311,857 : x
  2. Step 2: Convert to fraction form
    147,163/311,857 = 311,857/x
  3. Step 3: Cross multiply
    147,163x = 311,857 × 311,857
  4. Step 4: Simplify right side
    147,163x = 97,254,788,449
  5. Step 5: Solve for x
    x = 97,254,788,449/147,163
  6. Step 6: Final answer
    x = 660,864.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.