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Finding the Third Proportional to 289,774.13 and 629,400.38

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Solution

The third proportional to 289,774.13 and 629,400.38 is: 1,367,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,774.13 : 629,400.38 = 629,400.38 : x
  2. Step 2: Convert to fraction form
    289,774.13/629,400.38 = 629,400.38/x
  3. Step 3: Cross multiply
    289,774.13x = 629,400.38 × 629,400.38
  4. Step 4: Simplify right side
    289,774.13x = 396,144,832,050.14
  5. Step 5: Solve for x
    x = 396,144,832,050.14/289,774.13
  6. Step 6: Final answer
    x = 1,367,081.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.