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Finding the Third Proportional to 178,022.79 and 389,812.06

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Solution

The third proportional to 178,022.79 and 389,812.06 is: 853,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,022.79 : 389,812.06 = 389,812.06 : x
  2. Step 2: Convert to fraction form
    178,022.79/389,812.06 = 389,812.06/x
  3. Step 3: Cross multiply
    178,022.79x = 389,812.06 × 389,812.06
  4. Step 4: Simplify right side
    178,022.79x = 151,953,442,119.56
  5. Step 5: Solve for x
    x = 151,953,442,119.56/178,022.79
  6. Step 6: Final answer
    x = 853,561.75

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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.