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Finding the Third Proportional to 262,784 and 405,997

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Solution

The third proportional to 262,784 and 405,997 is: 627,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,784 : 405,997 = 405,997 : x
  2. Step 2: Convert to fraction form
    262,784/405,997 = 405,997/x
  3. Step 3: Cross multiply
    262,784x = 405,997 × 405,997
  4. Step 4: Simplify right side
    262,784x = 164,833,564,009
  5. Step 5: Solve for x
    x = 164,833,564,009/262,784
  6. Step 6: Final answer
    x = 627,258.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.