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Finding the Third Proportional to 65,440 and 100,725

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Solution

The third proportional to 65,440 and 100,725 is: 155,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,440 : 100,725 = 100,725 : x
  2. Step 2: Convert to fraction form
    65,440/100,725 = 100,725/x
  3. Step 3: Cross multiply
    65,440x = 100,725 × 100,725
  4. Step 4: Simplify right side
    65,440x = 10,145,525,625
  5. Step 5: Solve for x
    x = 10,145,525,625/65,440
  6. Step 6: Final answer
    x = 155,035.54

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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.