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Finding the Third Proportional to 122,104 and 209,872.50

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Solution

The third proportional to 122,104 and 209,872.50 is: 360,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,104 : 209,872.50 = 209,872.50 : x
  2. Step 2: Convert to fraction form
    122,104/209,872.50 = 209,872.50/x
  3. Step 3: Cross multiply
    122,104x = 209,872.50 × 209,872.50
  4. Step 4: Simplify right side
    122,104x = 44,046,466,256.25
  5. Step 5: Solve for x
    x = 44,046,466,256.25/122,104
  6. Step 6: Final answer
    x = 360,729.10

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.