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Finding the Third Proportional to 270,726 and 398,241

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Solution

The third proportional to 270,726 and 398,241 is: 585,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,726 : 398,241 = 398,241 : x
  2. Step 2: Convert to fraction form
    270,726/398,241 = 398,241/x
  3. Step 3: Cross multiply
    270,726x = 398,241 × 398,241
  4. Step 4: Simplify right side
    270,726x = 158,595,894,081
  5. Step 5: Solve for x
    x = 158,595,894,081/270,726
  6. Step 6: Final answer
    x = 585,817.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.