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Finding the Third Proportional to 172,206 and 372,078

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Solution

The third proportional to 172,206 and 372,078 is: 803,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,206 : 372,078 = 372,078 : x
  2. Step 2: Convert to fraction form
    172,206/372,078 = 372,078/x
  3. Step 3: Cross multiply
    172,206x = 372,078 × 372,078
  4. Step 4: Simplify right side
    172,206x = 138,442,038,084
  5. Step 5: Solve for x
    x = 138,442,038,084/172,206
  6. Step 6: Final answer
    x = 803,932.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.