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Finding the Third Proportional to 286,876.69 and 628,929.56

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Solution

The third proportional to 286,876.69 and 628,929.56 is: 1,378,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,876.69 : 628,929.56 = 628,929.56 : x
  2. Step 2: Convert to fraction form
    286,876.69/628,929.56 = 628,929.56/x
  3. Step 3: Cross multiply
    286,876.69x = 628,929.56 × 628,929.56
  4. Step 4: Simplify right side
    286,876.69x = 395,552,394,586.44
  5. Step 5: Solve for x
    x = 395,552,394,586.44/286,876.69
  6. Step 6: Final answer
    x = 1,378,823.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.