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Finding the Third Proportional to 115,979 and 244,417

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Solution

The third proportional to 115,979 and 244,417 is: 515,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,979 : 244,417 = 244,417 : x
  2. Step 2: Convert to fraction form
    115,979/244,417 = 244,417/x
  3. Step 3: Cross multiply
    115,979x = 244,417 × 244,417
  4. Step 4: Simplify right side
    115,979x = 59,739,669,889
  5. Step 5: Solve for x
    x = 59,739,669,889/115,979
  6. Step 6: Final answer
    x = 515,090.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.