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Finding the Third Proportional to 277,184 and 405,408

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Solution

The third proportional to 277,184 and 405,408 is: 592,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,184 : 405,408 = 405,408 : x
  2. Step 2: Convert to fraction form
    277,184/405,408 = 405,408/x
  3. Step 3: Cross multiply
    277,184x = 405,408 × 405,408
  4. Step 4: Simplify right side
    277,184x = 164,355,646,464
  5. Step 5: Solve for x
    x = 164,355,646,464/277,184
  6. Step 6: Final answer
    x = 592,947.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.