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Finding the Third Proportional to 121,227 and 163,069.50

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Solution

The third proportional to 121,227 and 163,069.50 is: 219,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,227 : 163,069.50 = 163,069.50 : x
  2. Step 2: Convert to fraction form
    121,227/163,069.50 = 163,069.50/x
  3. Step 3: Cross multiply
    121,227x = 163,069.50 × 163,069.50
  4. Step 4: Simplify right side
    121,227x = 26,591,661,830.25
  5. Step 5: Solve for x
    x = 26,591,661,830.25/121,227
  6. Step 6: Final answer
    x = 219,354.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.