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Finding the Third Proportional to 291,584 and 627,888

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Solution

The third proportional to 291,584 and 627,888 is: 1,352,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,584 : 627,888 = 627,888 : x
  2. Step 2: Convert to fraction form
    291,584/627,888 = 627,888/x
  3. Step 3: Cross multiply
    291,584x = 627,888 × 627,888
  4. Step 4: Simplify right side
    291,584x = 394,243,340,544
  5. Step 5: Solve for x
    x = 394,243,340,544/291,584
  6. Step 6: Final answer
    x = 1,352,074.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.