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Finding the Third Proportional to 109,377 and 171,356

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Solution

The third proportional to 109,377 and 171,356 is: 268,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,377 : 171,356 = 171,356 : x
  2. Step 2: Convert to fraction form
    109,377/171,356 = 171,356/x
  3. Step 3: Cross multiply
    109,377x = 171,356 × 171,356
  4. Step 4: Simplify right side
    109,377x = 29,362,878,736
  5. Step 5: Solve for x
    x = 29,362,878,736/109,377
  6. Step 6: Final answer
    x = 268,455.70

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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.