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Finding the Third Proportional to 309,968 and 476,664

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Solution

The third proportional to 309,968 and 476,664 is: 733,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,968 : 476,664 = 476,664 : x
  2. Step 2: Convert to fraction form
    309,968/476,664 = 476,664/x
  3. Step 3: Cross multiply
    309,968x = 476,664 × 476,664
  4. Step 4: Simplify right side
    309,968x = 227,208,568,896
  5. Step 5: Solve for x
    x = 227,208,568,896/309,968
  6. Step 6: Final answer
    x = 733,006.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.