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Finding the Third Proportional to 109,377.75 and 171,357.75

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Solution

The third proportional to 109,377.75 and 171,357.75 is: 268,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,377.75 : 171,357.75 = 171,357.75 : x
  2. Step 2: Convert to fraction form
    109,377.75/171,357.75 = 171,357.75/x
  3. Step 3: Cross multiply
    109,377.75x = 171,357.75 × 171,357.75
  4. Step 4: Simplify right side
    109,377.75x = 29,363,478,485.06
  5. Step 5: Solve for x
    x = 29,363,478,485.06/109,377.75
  6. Step 6: Final answer
    x = 268,459.34

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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.