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Finding the Third Proportional to 200,743 and 302,815

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Solution

The third proportional to 200,743 and 302,815 is: 456,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743 : 302,815 = 302,815 : x
  2. Step 2: Convert to fraction form
    200,743/302,815 = 302,815/x
  3. Step 3: Cross multiply
    200,743x = 302,815 × 302,815
  4. Step 4: Simplify right side
    200,743x = 91,696,924,225
  5. Step 5: Solve for x
    x = 91,696,924,225/200,743
  6. Step 6: Final answer
    x = 456,787.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.