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Finding the Third Proportional to 266,432 and 401,408

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Solution

The third proportional to 266,432 and 401,408 is: 604,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,432 : 401,408 = 401,408 : x
  2. Step 2: Convert to fraction form
    266,432/401,408 = 401,408/x
  3. Step 3: Cross multiply
    266,432x = 401,408 × 401,408
  4. Step 4: Simplify right side
    266,432x = 161,128,382,464
  5. Step 5: Solve for x
    x = 161,128,382,464/266,432
  6. Step 6: Final answer
    x = 604,763.63

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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.