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Finding the Third Proportional to 202,132 and 415,920

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Solution

The third proportional to 202,132 and 415,920 is: 855,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,132 : 415,920 = 415,920 : x
  2. Step 2: Convert to fraction form
    202,132/415,920 = 415,920/x
  3. Step 3: Cross multiply
    202,132x = 415,920 × 415,920
  4. Step 4: Simplify right side
    202,132x = 172,989,446,400
  5. Step 5: Solve for x
    x = 172,989,446,400/202,132
  6. Step 6: Final answer
    x = 855,824.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.