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Finding the Third Proportional to 230,505 and 310,738

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Solution

The third proportional to 230,505 and 310,738 is: 418,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,505 : 310,738 = 310,738 : x
  2. Step 2: Convert to fraction form
    230,505/310,738 = 310,738/x
  3. Step 3: Cross multiply
    230,505x = 310,738 × 310,738
  4. Step 4: Simplify right side
    230,505x = 96,558,104,644
  5. Step 5: Solve for x
    x = 96,558,104,644/230,505
  6. Step 6: Final answer
    x = 418,898.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.