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Finding the Third Proportional to 294,889 and 628,388

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Solution

The third proportional to 294,889 and 628,388 is: 1,339,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,889 : 628,388 = 628,388 : x
  2. Step 2: Convert to fraction form
    294,889/628,388 = 628,388/x
  3. Step 3: Cross multiply
    294,889x = 628,388 × 628,388
  4. Step 4: Simplify right side
    294,889x = 394,871,478,544
  5. Step 5: Solve for x
    x = 394,871,478,544/294,889
  6. Step 6: Final answer
    x = 1,339,051.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.