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Finding the Third Proportional to 308,418 and 483,927

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Solution

The third proportional to 308,418 and 483,927 is: 759,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,418 : 483,927 = 483,927 : x
  2. Step 2: Convert to fraction form
    308,418/483,927 = 483,927/x
  3. Step 3: Cross multiply
    308,418x = 483,927 × 483,927
  4. Step 4: Simplify right side
    308,418x = 234,185,341,329
  5. Step 5: Solve for x
    x = 234,185,341,329/308,418
  6. Step 6: Final answer
    x = 759,311.52

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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.