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Finding the Third Proportional to 266,907 and 313,963

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Solution

The third proportional to 266,907 and 313,963 is: 369,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,907 : 313,963 = 313,963 : x
  2. Step 2: Convert to fraction form
    266,907/313,963 = 313,963/x
  3. Step 3: Cross multiply
    266,907x = 313,963 × 313,963
  4. Step 4: Simplify right side
    266,907x = 98,572,765,369
  5. Step 5: Solve for x
    x = 98,572,765,369/266,907
  6. Step 6: Final answer
    x = 369,315.02

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.