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Finding the Third Proportional to 289,990 and 614,796

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Solution

The third proportional to 289,990 and 614,796 is: 1,303,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,990 : 614,796 = 614,796 : x
  2. Step 2: Convert to fraction form
    289,990/614,796 = 614,796/x
  3. Step 3: Cross multiply
    289,990x = 614,796 × 614,796
  4. Step 4: Simplify right side
    289,990x = 377,974,121,616
  5. Step 5: Solve for x
    x = 377,974,121,616/289,990
  6. Step 6: Final answer
    x = 1,303,403.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.