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Finding the Third Proportional to 172,651 and 377,324

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Solution

The third proportional to 172,651 and 377,324 is: 824,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,651 : 377,324 = 377,324 : x
  2. Step 2: Convert to fraction form
    172,651/377,324 = 377,324/x
  3. Step 3: Cross multiply
    172,651x = 377,324 × 377,324
  4. Step 4: Simplify right side
    172,651x = 142,373,400,976
  5. Step 5: Solve for x
    x = 142,373,400,976/172,651
  6. Step 6: Final answer
    x = 824,631.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.