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Finding the Third Proportional to 614,379 and 921,568

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Solution

The third proportional to 614,379 and 921,568 is: 1,382,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,379 : 921,568 = 921,568 : x
  2. Step 2: Convert to fraction form
    614,379/921,568 = 921,568/x
  3. Step 3: Cross multiply
    614,379x = 921,568 × 921,568
  4. Step 4: Simplify right side
    614,379x = 849,287,578,624
  5. Step 5: Solve for x
    x = 849,287,578,624/614,379
  6. Step 6: Final answer
    x = 1,382,351.25

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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.