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Finding the Third Proportional to 290,410 and 622,847

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Solution

The third proportional to 290,410 and 622,847 is: 1,335,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,410 : 622,847 = 622,847 : x
  2. Step 2: Convert to fraction form
    290,410/622,847 = 622,847/x
  3. Step 3: Cross multiply
    290,410x = 622,847 × 622,847
  4. Step 4: Simplify right side
    290,410x = 387,938,385,409
  5. Step 5: Solve for x
    x = 387,938,385,409/290,410
  6. Step 6: Final answer
    x = 1,335,829.98

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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.