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Finding the Third Proportional to 262,888 and 393,883

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Solution

The third proportional to 262,888 and 393,883 is: 590,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,888 : 393,883 = 393,883 : x
  2. Step 2: Convert to fraction form
    262,888/393,883 = 393,883/x
  3. Step 3: Cross multiply
    262,888x = 393,883 × 393,883
  4. Step 4: Simplify right side
    262,888x = 155,143,817,689
  5. Step 5: Solve for x
    x = 155,143,817,689/262,888
  6. Step 6: Final answer
    x = 590,151.77

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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.