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Finding the Third Proportional to 133,368 and 206,442

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Solution

The third proportional to 133,368 and 206,442 is: 319,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,368 : 206,442 = 206,442 : x
  2. Step 2: Convert to fraction form
    133,368/206,442 = 206,442/x
  3. Step 3: Cross multiply
    133,368x = 206,442 × 206,442
  4. Step 4: Simplify right side
    133,368x = 42,618,299,364
  5. Step 5: Solve for x
    x = 42,618,299,364/133,368
  6. Step 6: Final answer
    x = 319,554.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.