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Finding the Third Proportional to 172,115 and 372,823

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Solution

The third proportional to 172,115 and 372,823 is: 807,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,115 : 372,823 = 372,823 : x
  2. Step 2: Convert to fraction form
    172,115/372,823 = 372,823/x
  3. Step 3: Cross multiply
    172,115x = 372,823 × 372,823
  4. Step 4: Simplify right side
    172,115x = 138,996,989,329
  5. Step 5: Solve for x
    x = 138,996,989,329/172,115
  6. Step 6: Final answer
    x = 807,582.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.