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Finding the Third Proportional to 181,590 and 399,012

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Solution

The third proportional to 181,590 and 399,012 is: 876,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,590 : 399,012 = 399,012 : x
  2. Step 2: Convert to fraction form
    181,590/399,012 = 399,012/x
  3. Step 3: Cross multiply
    181,590x = 399,012 × 399,012
  4. Step 4: Simplify right side
    181,590x = 159,210,576,144
  5. Step 5: Solve for x
    x = 159,210,576,144/181,590
  6. Step 6: Final answer
    x = 876,758.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.