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Finding the Third Proportional to 289,392.75 and 620,318.25

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Solution

The third proportional to 289,392.75 and 620,318.25 is: 1,329,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,392.75 : 620,318.25 = 620,318.25 : x
  2. Step 2: Convert to fraction form
    289,392.75/620,318.25 = 620,318.25/x
  3. Step 3: Cross multiply
    289,392.75x = 620,318.25 × 620,318.25
  4. Step 4: Simplify right side
    289,392.75x = 384,794,731,283.06
  5. Step 5: Solve for x
    x = 384,794,731,283.06/289,392.75
  6. Step 6: Final answer
    x = 1,329,662.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.