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Finding the Third Proportional to 380,474 and 589,947

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Solution

The third proportional to 380,474 and 589,947 is: 914,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,474 : 589,947 = 589,947 : x
  2. Step 2: Convert to fraction form
    380,474/589,947 = 589,947/x
  3. Step 3: Cross multiply
    380,474x = 589,947 × 589,947
  4. Step 4: Simplify right side
    380,474x = 348,037,462,809
  5. Step 5: Solve for x
    x = 348,037,462,809/380,474
  6. Step 6: Final answer
    x = 914,747.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.