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Finding the Third Proportional to 181,873 and 428,723

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Solution

The third proportional to 181,873 and 428,723 is: 1,010,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,873 : 428,723 = 428,723 : x
  2. Step 2: Convert to fraction form
    181,873/428,723 = 428,723/x
  3. Step 3: Cross multiply
    181,873x = 428,723 × 428,723
  4. Step 4: Simplify right side
    181,873x = 183,803,410,729
  5. Step 5: Solve for x
    x = 183,803,410,729/181,873
  6. Step 6: Final answer
    x = 1,010,614.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.