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Finding the Third Proportional to 277,240 and 417,831

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Solution

The third proportional to 277,240 and 417,831 is: 629,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,240 : 417,831 = 417,831 : x
  2. Step 2: Convert to fraction form
    277,240/417,831 = 417,831/x
  3. Step 3: Cross multiply
    277,240x = 417,831 × 417,831
  4. Step 4: Simplify right side
    277,240x = 174,582,744,561
  5. Step 5: Solve for x
    x = 174,582,744,561/277,240
  6. Step 6: Final answer
    x = 629,717.01

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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.