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Finding the Third Proportional to 291,848 and 628,690

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Solution

The third proportional to 291,848 and 628,690 is: 1,354,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,848 : 628,690 = 628,690 : x
  2. Step 2: Convert to fraction form
    291,848/628,690 = 628,690/x
  3. Step 3: Cross multiply
    291,848x = 628,690 × 628,690
  4. Step 4: Simplify right side
    291,848x = 395,251,116,100
  5. Step 5: Solve for x
    x = 395,251,116,100/291,848
  6. Step 6: Final answer
    x = 1,354,304.69

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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.