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Finding the Third Proportional to 265,122 and 398,781

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Solution

The third proportional to 265,122 and 398,781 is: 599,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,122 : 398,781 = 398,781 : x
  2. Step 2: Convert to fraction form
    265,122/398,781 = 398,781/x
  3. Step 3: Cross multiply
    265,122x = 398,781 × 398,781
  4. Step 4: Simplify right side
    265,122x = 159,026,285,961
  5. Step 5: Solve for x
    x = 159,026,285,961/265,122
  6. Step 6: Final answer
    x = 599,823.05

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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.