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Finding the Third Proportional to 177,729.19 and 389,898.56

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Solution

The third proportional to 177,729.19 and 389,898.56 is: 855,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,729.19 : 389,898.56 = 389,898.56 : x
  2. Step 2: Convert to fraction form
    177,729.19/389,898.56 = 389,898.56/x
  3. Step 3: Cross multiply
    177,729.19x = 389,898.56 × 389,898.56
  4. Step 4: Simplify right side
    177,729.19x = 152,020,889,039.57
  5. Step 5: Solve for x
    x = 152,020,889,039.57/177,729.19
  6. Step 6: Final answer
    x = 855,351.29

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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.