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Finding the Third Proportional to 308,408 and 483,911

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Solution

The third proportional to 308,408 and 483,911 is: 759,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,408 : 483,911 = 483,911 : x
  2. Step 2: Convert to fraction form
    308,408/483,911 = 483,911/x
  3. Step 3: Cross multiply
    308,408x = 483,911 × 483,911
  4. Step 4: Simplify right side
    308,408x = 234,169,855,921
  5. Step 5: Solve for x
    x = 234,169,855,921/308,408
  6. Step 6: Final answer
    x = 759,285.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.