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Finding the Third Proportional to 266,504 and 405,213

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Solution

The third proportional to 266,504 and 405,213 is: 616,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,504 : 405,213 = 405,213 : x
  2. Step 2: Convert to fraction form
    266,504/405,213 = 405,213/x
  3. Step 3: Cross multiply
    266,504x = 405,213 × 405,213
  4. Step 4: Simplify right side
    266,504x = 164,197,575,369
  5. Step 5: Solve for x
    x = 164,197,575,369/266,504
  6. Step 6: Final answer
    x = 616,116.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.