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Finding the Third Proportional to 68,536 and 109,364

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Solution

The third proportional to 68,536 and 109,364 is: 174,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,536 : 109,364 = 109,364 : x
  2. Step 2: Convert to fraction form
    68,536/109,364 = 109,364/x
  3. Step 3: Cross multiply
    68,536x = 109,364 × 109,364
  4. Step 4: Simplify right side
    68,536x = 11,960,484,496
  5. Step 5: Solve for x
    x = 11,960,484,496/68,536
  6. Step 6: Final answer
    x = 174,513.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.