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Finding the Third Proportional to 393,612 and 626,619

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Solution

The third proportional to 393,612 and 626,619 is: 997,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,612 : 626,619 = 626,619 : x
  2. Step 2: Convert to fraction form
    393,612/626,619 = 626,619/x
  3. Step 3: Cross multiply
    393,612x = 626,619 × 626,619
  4. Step 4: Simplify right side
    393,612x = 392,651,371,161
  5. Step 5: Solve for x
    x = 392,651,371,161/393,612
  6. Step 6: Final answer
    x = 997,559.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.