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Finding the Third Proportional to 170,651 and 372,405

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Solution

The third proportional to 170,651 and 372,405 is: 812,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,651 : 372,405 = 372,405 : x
  2. Step 2: Convert to fraction form
    170,651/372,405 = 372,405/x
  3. Step 3: Cross multiply
    170,651x = 372,405 × 372,405
  4. Step 4: Simplify right side
    170,651x = 138,685,484,025
  5. Step 5: Solve for x
    x = 138,685,484,025/170,651
  6. Step 6: Final answer
    x = 812,684.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.