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Finding the Third Proportional to 133,051 and 200,953

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Solution

The third proportional to 133,051 and 200,953 is: 303,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051 : 200,953 = 200,953 : x
  2. Step 2: Convert to fraction form
    133,051/200,953 = 200,953/x
  3. Step 3: Cross multiply
    133,051x = 200,953 × 200,953
  4. Step 4: Simplify right side
    133,051x = 40,382,108,209
  5. Step 5: Solve for x
    x = 40,382,108,209/133,051
  6. Step 6: Final answer
    x = 303,508.49

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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.