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Finding the Third Proportional to 318,603 and 488,961

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Solution

The third proportional to 318,603 and 488,961 is: 750,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,603 : 488,961 = 488,961 : x
  2. Step 2: Convert to fraction form
    318,603/488,961 = 488,961/x
  3. Step 3: Cross multiply
    318,603x = 488,961 × 488,961
  4. Step 4: Simplify right side
    318,603x = 239,082,859,521
  5. Step 5: Solve for x
    x = 239,082,859,521/318,603
  6. Step 6: Final answer
    x = 750,409.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.