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Finding the Third Proportional to 270,734 and 398,253

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Solution

The third proportional to 270,734 and 398,253 is: 585,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,734 : 398,253 = 398,253 : x
  2. Step 2: Convert to fraction form
    270,734/398,253 = 398,253/x
  3. Step 3: Cross multiply
    270,734x = 398,253 × 398,253
  4. Step 4: Simplify right side
    270,734x = 158,605,452,009
  5. Step 5: Solve for x
    x = 158,605,452,009/270,734
  6. Step 6: Final answer
    x = 585,835.00

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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.