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Finding the Third Proportional to 202,910 and 433,960

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Solution

The third proportional to 202,910 and 433,960 is: 928,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,910 : 433,960 = 433,960 : x
  2. Step 2: Convert to fraction form
    202,910/433,960 = 433,960/x
  3. Step 3: Cross multiply
    202,910x = 433,960 × 433,960
  4. Step 4: Simplify right side
    202,910x = 188,321,281,600
  5. Step 5: Solve for x
    x = 188,321,281,600/202,910
  6. Step 6: Final answer
    x = 928,102.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.