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Finding the Third Proportional to 681,989.63 and 992,999.25

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Solution

The third proportional to 681,989.63 and 992,999.25 is: 1,445,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,989.63 : 992,999.25 = 992,999.25 : x
  2. Step 2: Convert to fraction form
    681,989.63/992,999.25 = 992,999.25/x
  3. Step 3: Cross multiply
    681,989.63x = 992,999.25 × 992,999.25
  4. Step 4: Simplify right side
    681,989.63x = 986,047,510,500.56
  5. Step 5: Solve for x
    x = 986,047,510,500.56/681,989.63
  6. Step 6: Final answer
    x = 1,445,839.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.