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Finding the Third Proportional to 266,734 and 409,010

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Solution

The third proportional to 266,734 and 409,010 is: 627,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,734 : 409,010 = 409,010 : x
  2. Step 2: Convert to fraction form
    266,734/409,010 = 409,010/x
  3. Step 3: Cross multiply
    266,734x = 409,010 × 409,010
  4. Step 4: Simplify right side
    266,734x = 167,289,180,100
  5. Step 5: Solve for x
    x = 167,289,180,100/266,734
  6. Step 6: Final answer
    x = 627,176.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.