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Finding the Third Proportional to 292,638 and 628,938

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Solution

The third proportional to 292,638 and 628,938 is: 1,351,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,638 : 628,938 = 628,938 : x
  2. Step 2: Convert to fraction form
    292,638/628,938 = 628,938/x
  3. Step 3: Cross multiply
    292,638x = 628,938 × 628,938
  4. Step 4: Simplify right side
    292,638x = 395,563,007,844
  5. Step 5: Solve for x
    x = 395,563,007,844/292,638
  6. Step 6: Final answer
    x = 1,351,714.43

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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.