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Finding the Third Proportional to 207,910 and 330,933

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Solution

The third proportional to 207,910 and 330,933 is: 526,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,910 : 330,933 = 330,933 : x
  2. Step 2: Convert to fraction form
    207,910/330,933 = 330,933/x
  3. Step 3: Cross multiply
    207,910x = 330,933 × 330,933
  4. Step 4: Simplify right side
    207,910x = 109,516,650,489
  5. Step 5: Solve for x
    x = 109,516,650,489/207,910
  6. Step 6: Final answer
    x = 526,750.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.