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Finding the Third Proportional to 129,664 and 286,544

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Solution

The third proportional to 129,664 and 286,544 is: 633,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,664 : 286,544 = 286,544 : x
  2. Step 2: Convert to fraction form
    129,664/286,544 = 286,544/x
  3. Step 3: Cross multiply
    129,664x = 286,544 × 286,544
  4. Step 4: Simplify right side
    129,664x = 82,107,463,936
  5. Step 5: Solve for x
    x = 82,107,463,936/129,664
  6. Step 6: Final answer
    x = 633,232.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.