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Finding the Third Proportional to 277,508 and 368,931

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Solution

The third proportional to 277,508 and 368,931 is: 490,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,508 : 368,931 = 368,931 : x
  2. Step 2: Convert to fraction form
    277,508/368,931 = 368,931/x
  3. Step 3: Cross multiply
    277,508x = 368,931 × 368,931
  4. Step 4: Simplify right side
    277,508x = 136,110,082,761
  5. Step 5: Solve for x
    x = 136,110,082,761/277,508
  6. Step 6: Final answer
    x = 490,472.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.