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Finding the Third Proportional to 262,430 and 393,576

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Solution

The third proportional to 262,430 and 393,576 is: 590,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,430 : 393,576 = 393,576 : x
  2. Step 2: Convert to fraction form
    262,430/393,576 = 393,576/x
  3. Step 3: Cross multiply
    262,430x = 393,576 × 393,576
  4. Step 4: Simplify right side
    262,430x = 154,902,067,776
  5. Step 5: Solve for x
    x = 154,902,067,776/262,430
  6. Step 6: Final answer
    x = 590,260.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.