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Finding the Third Proportional to 181,389 and 421,621.50

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Solution

The third proportional to 181,389 and 421,621.50 is: 980,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,389 : 421,621.50 = 421,621.50 : x
  2. Step 2: Convert to fraction form
    181,389/421,621.50 = 421,621.50/x
  3. Step 3: Cross multiply
    181,389x = 421,621.50 × 421,621.50
  4. Step 4: Simplify right side
    181,389x = 177,764,689,262.25
  5. Step 5: Solve for x
    x = 177,764,689,262.25/181,389
  6. Step 6: Final answer
    x = 980,019.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.