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Finding the Third Proportional to 305,950 and 653,938

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Solution

The third proportional to 305,950 and 653,938 is: 1,397,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,950 : 653,938 = 653,938 : x
  2. Step 2: Convert to fraction form
    305,950/653,938 = 653,938/x
  3. Step 3: Cross multiply
    305,950x = 653,938 × 653,938
  4. Step 4: Simplify right side
    305,950x = 427,634,907,844
  5. Step 5: Solve for x
    x = 427,634,907,844/305,950
  6. Step 6: Final answer
    x = 1,397,728.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.