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Finding the Third Proportional to 291,938 and 628,894

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Solution

The third proportional to 291,938 and 628,894 is: 1,354,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,938 : 628,894 = 628,894 : x
  2. Step 2: Convert to fraction form
    291,938/628,894 = 628,894/x
  3. Step 3: Cross multiply
    291,938x = 628,894 × 628,894
  4. Step 4: Simplify right side
    291,938x = 395,507,663,236
  5. Step 5: Solve for x
    x = 395,507,663,236/291,938
  6. Step 6: Final answer
    x = 1,354,765.95

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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.