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Finding the Third Proportional to 305,738 and 440,377

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Solution

The third proportional to 305,738 and 440,377 is: 634,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,738 : 440,377 = 440,377 : x
  2. Step 2: Convert to fraction form
    305,738/440,377 = 440,377/x
  3. Step 3: Cross multiply
    305,738x = 440,377 × 440,377
  4. Step 4: Simplify right side
    305,738x = 193,931,902,129
  5. Step 5: Solve for x
    x = 193,931,902,129/305,738
  6. Step 6: Final answer
    x = 634,307.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.