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Finding the Third Proportional to 133,740 and 207,751.50

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Solution

The third proportional to 133,740 and 207,751.50 is: 322,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,740 : 207,751.50 = 207,751.50 : x
  2. Step 2: Convert to fraction form
    133,740/207,751.50 = 207,751.50/x
  3. Step 3: Cross multiply
    133,740x = 207,751.50 × 207,751.50
  4. Step 4: Simplify right side
    133,740x = 43,160,685,752.25
  5. Step 5: Solve for x
    x = 43,160,685,752.25/133,740
  6. Step 6: Final answer
    x = 322,720.84

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Why These Related Problems?

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