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Finding the Third Proportional to 266,436 and 401,414

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Solution

The third proportional to 266,436 and 401,414 is: 604,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,436 : 401,414 = 401,414 : x
  2. Step 2: Convert to fraction form
    266,436/401,414 = 401,414/x
  3. Step 3: Cross multiply
    266,436x = 401,414 × 401,414
  4. Step 4: Simplify right side
    266,436x = 161,133,199,396
  5. Step 5: Solve for x
    x = 161,133,199,396/266,436
  6. Step 6: Final answer
    x = 604,772.63

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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.