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Finding the Third Proportional to 109,722.94 and 172,165.92

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Solution

The third proportional to 109,722.94 and 172,165.92 is: 270,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,722.94 : 172,165.92 = 172,165.92 : x
  2. Step 2: Convert to fraction form
    109,722.94/172,165.92 = 172,165.92/x
  3. Step 3: Cross multiply
    109,722.94x = 172,165.92 × 172,165.92
  4. Step 4: Simplify right side
    109,722.94x = 29,641,104,655.07
  5. Step 5: Solve for x
    x = 29,641,104,655.07/109,722.94
  6. Step 6: Final answer
    x = 270,145.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.