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Finding the Third Proportional to 133,801 and 207,289.50

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Solution

The third proportional to 133,801 and 207,289.50 is: 321,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,801 : 207,289.50 = 207,289.50 : x
  2. Step 2: Convert to fraction form
    133,801/207,289.50 = 207,289.50/x
  3. Step 3: Cross multiply
    133,801x = 207,289.50 × 207,289.50
  4. Step 4: Simplify right side
    133,801x = 42,968,936,810.25
  5. Step 5: Solve for x
    x = 42,968,936,810.25/133,801
  6. Step 6: Final answer
    x = 321,140.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.