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Finding the Third Proportional to 622,884.50 and 817,899

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Solution

The third proportional to 622,884.50 and 817,899 is: 1,073,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,884.50 : 817,899 = 817,899 : x
  2. Step 2: Convert to fraction form
    622,884.50/817,899 = 817,899/x
  3. Step 3: Cross multiply
    622,884.50x = 817,899 × 817,899
  4. Step 4: Simplify right side
    622,884.50x = 668,958,774,201
  5. Step 5: Solve for x
    x = 668,958,774,201/622,884.50
  6. Step 6: Final answer
    x = 1,073,969.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.