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Finding the Third Proportional to 179,769.38 and 387,569.81

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Solution

The third proportional to 179,769.38 and 387,569.81 is: 835,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,769.38 : 387,569.81 = 387,569.81 : x
  2. Step 2: Convert to fraction form
    179,769.38/387,569.81 = 387,569.81/x
  3. Step 3: Cross multiply
    179,769.38x = 387,569.81 × 387,569.81
  4. Step 4: Simplify right side
    179,769.38x = 150,210,359,561.29
  5. Step 5: Solve for x
    x = 150,210,359,561.29/179,769.38
  6. Step 6: Final answer
    x = 835,572.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.