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Finding the Third Proportional to 393,658 and 626,685

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Solution

The third proportional to 393,658 and 626,685 is: 997,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,658 : 626,685 = 626,685 : x
  2. Step 2: Convert to fraction form
    393,658/626,685 = 626,685/x
  3. Step 3: Cross multiply
    393,658x = 626,685 × 626,685
  4. Step 4: Simplify right side
    393,658x = 392,734,089,225
  5. Step 5: Solve for x
    x = 392,734,089,225/393,658
  6. Step 6: Final answer
    x = 997,653.01

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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.