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Finding the Third Proportional to 394,592 and 641,082

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Solution

The third proportional to 394,592 and 641,082 is: 1,041,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,592 : 641,082 = 641,082 : x
  2. Step 2: Convert to fraction form
    394,592/641,082 = 641,082/x
  3. Step 3: Cross multiply
    394,592x = 641,082 × 641,082
  4. Step 4: Simplify right side
    394,592x = 410,986,130,724
  5. Step 5: Solve for x
    x = 410,986,130,724/394,592
  6. Step 6: Final answer
    x = 1,041,547.04

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.