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Finding the Third Proportional to 137,751.75 and 301,909.50

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Solution

The third proportional to 137,751.75 and 301,909.50 is: 661,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,751.75 : 301,909.50 = 301,909.50 : x
  2. Step 2: Convert to fraction form
    137,751.75/301,909.50 = 301,909.50/x
  3. Step 3: Cross multiply
    137,751.75x = 301,909.50 × 301,909.50
  4. Step 4: Simplify right side
    137,751.75x = 91,149,346,190.25
  5. Step 5: Solve for x
    x = 91,149,346,190.25/137,751.75
  6. Step 6: Final answer
    x = 661,692.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.