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Finding the Third Proportional to 179,021.81 and 389,998.13

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Solution

The third proportional to 179,021.81 and 389,998.13 is: 849,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,021.81 : 389,998.13 = 389,998.13 : x
  2. Step 2: Convert to fraction form
    179,021.81/389,998.13 = 389,998.13/x
  3. Step 3: Cross multiply
    179,021.81x = 389,998.13 × 389,998.13
  4. Step 4: Simplify right side
    179,021.81x = 152,098,537,503.52
  5. Step 5: Solve for x
    x = 152,098,537,503.52/179,021.81
  6. Step 6: Final answer
    x = 849,608.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.