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Finding the Third Proportional to 277,346 and 417,979

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Solution

The third proportional to 277,346 and 417,979 is: 629,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,346 : 417,979 = 417,979 : x
  2. Step 2: Convert to fraction form
    277,346/417,979 = 417,979/x
  3. Step 3: Cross multiply
    277,346x = 417,979 × 417,979
  4. Step 4: Simplify right side
    277,346x = 174,706,444,441
  5. Step 5: Solve for x
    x = 174,706,444,441/277,346
  6. Step 6: Final answer
    x = 629,922.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.