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Finding the Third Proportional to 393,684 and 610,759

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Solution

The third proportional to 393,684 and 610,759 is: 947,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,684 : 610,759 = 610,759 : x
  2. Step 2: Convert to fraction form
    393,684/610,759 = 610,759/x
  3. Step 3: Cross multiply
    393,684x = 610,759 × 610,759
  4. Step 4: Simplify right side
    393,684x = 373,026,556,081
  5. Step 5: Solve for x
    x = 373,026,556,081/393,684
  6. Step 6: Final answer
    x = 947,527.86

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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.