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Finding the Third Proportional to 266,752 and 409,012

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Solution

The third proportional to 266,752 and 409,012 is: 627,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,752 : 409,012 = 409,012 : x
  2. Step 2: Convert to fraction form
    266,752/409,012 = 409,012/x
  3. Step 3: Cross multiply
    266,752x = 409,012 × 409,012
  4. Step 4: Simplify right side
    266,752x = 167,290,816,144
  5. Step 5: Solve for x
    x = 167,290,816,144/266,752
  6. Step 6: Final answer
    x = 627,139.88

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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.