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Finding the Third Proportional to 135,685 and 295,503.50

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Solution

The third proportional to 135,685 and 295,503.50 is: 643,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,685 : 295,503.50 = 295,503.50 : x
  2. Step 2: Convert to fraction form
    135,685/295,503.50 = 295,503.50/x
  3. Step 3: Cross multiply
    135,685x = 295,503.50 × 295,503.50
  4. Step 4: Simplify right side
    135,685x = 87,322,318,512.25
  5. Step 5: Solve for x
    x = 87,322,318,512.25/135,685
  6. Step 6: Final answer
    x = 643,566.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.