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Finding the Third Proportional to 153,900 and 320,031

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Solution

The third proportional to 153,900 and 320,031 is: 665,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,900 : 320,031 = 320,031 : x
  2. Step 2: Convert to fraction form
    153,900/320,031 = 320,031/x
  3. Step 3: Cross multiply
    153,900x = 320,031 × 320,031
  4. Step 4: Simplify right side
    153,900x = 102,419,840,961
  5. Step 5: Solve for x
    x = 102,419,840,961/153,900
  6. Step 6: Final answer
    x = 665,496.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.