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Finding the Third Proportional to 109,296 and 172,854

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Solution

The third proportional to 109,296 and 172,854 is: 273,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,296 : 172,854 = 172,854 : x
  2. Step 2: Convert to fraction form
    109,296/172,854 = 172,854/x
  3. Step 3: Cross multiply
    109,296x = 172,854 × 172,854
  4. Step 4: Simplify right side
    109,296x = 29,878,505,316
  5. Step 5: Solve for x
    x = 29,878,505,316/109,296
  6. Step 6: Final answer
    x = 273,372.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.