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Finding the Third Proportional to 246,494 and 389,976

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Solution

The third proportional to 246,494 and 389,976 is: 616,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,494 : 389,976 = 389,976 : x
  2. Step 2: Convert to fraction form
    246,494/389,976 = 389,976/x
  3. Step 3: Cross multiply
    246,494x = 389,976 × 389,976
  4. Step 4: Simplify right side
    246,494x = 152,081,280,576
  5. Step 5: Solve for x
    x = 152,081,280,576/246,494
  6. Step 6: Final answer
    x = 616,977.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.