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Finding the Third Proportional to 398,584.88 and 605,258.63

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Solution

The third proportional to 398,584.88 and 605,258.63 is: 919,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,584.88 : 605,258.63 = 605,258.63 : x
  2. Step 2: Convert to fraction form
    398,584.88/605,258.63 = 605,258.63/x
  3. Step 3: Cross multiply
    398,584.88x = 605,258.63 × 605,258.63
  4. Step 4: Simplify right side
    398,584.88x = 366,338,003,136.89
  5. Step 5: Solve for x
    x = 366,338,003,136.89/398,584.88
  6. Step 6: Final answer
    x = 919,096.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.