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Finding the Third Proportional to 153,927 and 324,531

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Solution

The third proportional to 153,927 and 324,531 is: 684,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,927 : 324,531 = 324,531 : x
  2. Step 2: Convert to fraction form
    153,927/324,531 = 324,531/x
  3. Step 3: Cross multiply
    153,927x = 324,531 × 324,531
  4. Step 4: Simplify right side
    153,927x = 105,320,369,961
  5. Step 5: Solve for x
    x = 105,320,369,961/153,927
  6. Step 6: Final answer
    x = 684,222.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.