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Finding the Third Proportional to 170,722.69 and 261,004.78

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Solution

The third proportional to 170,722.69 and 261,004.78 is: 399,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,722.69 : 261,004.78 = 261,004.78 : x
  2. Step 2: Convert to fraction form
    170,722.69/261,004.78 = 261,004.78/x
  3. Step 3: Cross multiply
    170,722.69x = 261,004.78 × 261,004.78
  4. Step 4: Simplify right side
    170,722.69x = 68,123,495,835.36
  5. Step 5: Solve for x
    x = 68,123,495,835.36/170,722.69
  6. Step 6: Final answer
    x = 399,030.13

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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.