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Finding the Third Proportional to 611,899.50 and 881,318.25

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Solution

The third proportional to 611,899.50 and 881,318.25 is: 1,269,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,899.50 : 881,318.25 = 881,318.25 : x
  2. Step 2: Convert to fraction form
    611,899.50/881,318.25 = 881,318.25/x
  3. Step 3: Cross multiply
    611,899.50x = 881,318.25 × 881,318.25
  4. Step 4: Simplify right side
    611,899.50x = 776,721,857,783.06
  5. Step 5: Solve for x
    x = 776,721,857,783.06/611,899.50
  6. Step 6: Final answer
    x = 1,269,361.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.