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Finding the Third Proportional to 729,427.78 and 1,171,989

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Solution

The third proportional to 729,427.78 and 1,171,989 is: 1,883,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,427.78 : 1,171,989 = 1,171,989 : x
  2. Step 2: Convert to fraction form
    729,427.78/1,171,989 = 1,171,989/x
  3. Step 3: Cross multiply
    729,427.78x = 1,171,989 × 1,171,989
  4. Step 4: Simplify right side
    729,427.78x = 1,373,558,216,121
  5. Step 5: Solve for x
    x = 1,373,558,216,121/729,427.78
  6. Step 6: Final answer
    x = 1,883,062.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.