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Finding the Third Proportional to 291,638 and 628,798

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Solution

The third proportional to 291,638 and 628,798 is: 1,355,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,638 : 628,798 = 628,798 : x
  2. Step 2: Convert to fraction form
    291,638/628,798 = 628,798/x
  3. Step 3: Cross multiply
    291,638x = 628,798 × 628,798
  4. Step 4: Simplify right side
    291,638x = 395,386,924,804
  5. Step 5: Solve for x
    x = 395,386,924,804/291,638
  6. Step 6: Final answer
    x = 1,355,745.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.