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Finding the Third Proportional to 266,420 and 375,219

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Solution

The third proportional to 266,420 and 375,219 is: 528,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,420 : 375,219 = 375,219 : x
  2. Step 2: Convert to fraction form
    266,420/375,219 = 375,219/x
  3. Step 3: Cross multiply
    266,420x = 375,219 × 375,219
  4. Step 4: Simplify right side
    266,420x = 140,789,297,961
  5. Step 5: Solve for x
    x = 140,789,297,961/266,420
  6. Step 6: Final answer
    x = 528,448.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.