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Finding the Third Proportional to 289,994 and 614,804

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Solution

The third proportional to 289,994 and 614,804 is: 1,303,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,994 : 614,804 = 614,804 : x
  2. Step 2: Convert to fraction form
    289,994/614,804 = 614,804/x
  3. Step 3: Cross multiply
    289,994x = 614,804 × 614,804
  4. Step 4: Simplify right side
    289,994x = 377,983,958,416
  5. Step 5: Solve for x
    x = 377,983,958,416/289,994
  6. Step 6: Final answer
    x = 1,303,419.93

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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.