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Finding the Third Proportional to 170,140.50 and 261,159

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Solution

The third proportional to 170,140.50 and 261,159 is: 400,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,140.50 : 261,159 = 261,159 : x
  2. Step 2: Convert to fraction form
    170,140.50/261,159 = 261,159/x
  3. Step 3: Cross multiply
    170,140.50x = 261,159 × 261,159
  4. Step 4: Simplify right side
    170,140.50x = 68,204,023,281
  5. Step 5: Solve for x
    x = 68,204,023,281/170,140.50
  6. Step 6: Final answer
    x = 400,868.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.