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Finding the Third Proportional to 71,364 and 109,725

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Solution

The third proportional to 71,364 and 109,725 is: 168,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,364 : 109,725 = 109,725 : x
  2. Step 2: Convert to fraction form
    71,364/109,725 = 109,725/x
  3. Step 3: Cross multiply
    71,364x = 109,725 × 109,725
  4. Step 4: Simplify right side
    71,364x = 12,039,575,625
  5. Step 5: Solve for x
    x = 12,039,575,625/71,364
  6. Step 6: Final answer
    x = 168,706.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.