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Finding the Third Proportional to 277,123 and 416,915

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Solution

The third proportional to 277,123 and 416,915 is: 627,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,123 : 416,915 = 416,915 : x
  2. Step 2: Convert to fraction form
    277,123/416,915 = 416,915/x
  3. Step 3: Cross multiply
    277,123x = 416,915 × 416,915
  4. Step 4: Simplify right side
    277,123x = 173,818,117,225
  5. Step 5: Solve for x
    x = 173,818,117,225/277,123
  6. Step 6: Final answer
    x = 627,223.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.