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Finding the Third Proportional to 265,858 and 398,981

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Solution

The third proportional to 265,858 and 398,981 is: 598,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,858 : 398,981 = 398,981 : x
  2. Step 2: Convert to fraction form
    265,858/398,981 = 398,981/x
  3. Step 3: Cross multiply
    265,858x = 398,981 × 398,981
  4. Step 4: Simplify right side
    265,858x = 159,185,838,361
  5. Step 5: Solve for x
    x = 159,185,838,361/265,858
  6. Step 6: Final answer
    x = 598,762.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.