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Finding the Third Proportional to 65,000 and 100,380

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Solution

The third proportional to 65,000 and 100,380 is: 155,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000 : 100,380 = 100,380 : x
  2. Step 2: Convert to fraction form
    65,000/100,380 = 100,380/x
  3. Step 3: Cross multiply
    65,000x = 100,380 × 100,380
  4. Step 4: Simplify right side
    65,000x = 10,076,144,400
  5. Step 5: Solve for x
    x = 10,076,144,400/65,000
  6. Step 6: Final answer
    x = 155,017.61

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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.