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Finding the Third Proportional to 266,558 and 403,013

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Solution

The third proportional to 266,558 and 403,013 is: 609,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,558 : 403,013 = 403,013 : x
  2. Step 2: Convert to fraction form
    266,558/403,013 = 403,013/x
  3. Step 3: Cross multiply
    266,558x = 403,013 × 403,013
  4. Step 4: Simplify right side
    266,558x = 162,419,478,169
  5. Step 5: Solve for x
    x = 162,419,478,169/266,558
  6. Step 6: Final answer
    x = 609,321.34

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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.