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Finding the Third Proportional to 270,910 and 398,509

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Solution

The third proportional to 270,910 and 398,509 is: 586,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,910 : 398,509 = 398,509 : x
  2. Step 2: Convert to fraction form
    270,910/398,509 = 398,509/x
  3. Step 3: Cross multiply
    270,910x = 398,509 × 398,509
  4. Step 4: Simplify right side
    270,910x = 158,809,423,081
  5. Step 5: Solve for x
    x = 158,809,423,081/270,910
  6. Step 6: Final answer
    x = 586,207.31

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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.