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Finding the Third Proportional to 100,671.50 and 120,901.50

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Solution

The third proportional to 100,671.50 and 120,901.50 is: 145,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,671.50 : 120,901.50 = 120,901.50 : x
  2. Step 2: Convert to fraction form
    100,671.50/120,901.50 = 120,901.50/x
  3. Step 3: Cross multiply
    100,671.50x = 120,901.50 × 120,901.50
  4. Step 4: Simplify right side
    100,671.50x = 14,617,172,702.25
  5. Step 5: Solve for x
    x = 14,617,172,702.25/100,671.50
  6. Step 6: Final answer
    x = 145,196.73

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.