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Finding the Third Proportional to 135,884.75 and 288,212.50

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Solution

The third proportional to 135,884.75 and 288,212.50 is: 611,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,884.75 : 288,212.50 = 288,212.50 : x
  2. Step 2: Convert to fraction form
    135,884.75/288,212.50 = 288,212.50/x
  3. Step 3: Cross multiply
    135,884.75x = 288,212.50 × 288,212.50
  4. Step 4: Simplify right side
    135,884.75x = 83,066,445,156.25
  5. Step 5: Solve for x
    x = 83,066,445,156.25/135,884.75
  6. Step 6: Final answer
    x = 611,300.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.