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Finding the Third Proportional to 265,989 and 398,979

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Solution

The third proportional to 265,989 and 398,979 is: 598,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,989 : 398,979 = 398,979 : x
  2. Step 2: Convert to fraction form
    265,989/398,979 = 398,979/x
  3. Step 3: Cross multiply
    265,989x = 398,979 × 398,979
  4. Step 4: Simplify right side
    265,989x = 159,184,242,441
  5. Step 5: Solve for x
    x = 159,184,242,441/265,989
  6. Step 6: Final answer
    x = 598,461.75

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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.