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Finding the Third Proportional to 286,054 and 629,237

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Solution

The third proportional to 286,054 and 629,237 is: 1,384,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,054 : 629,237 = 629,237 : x
  2. Step 2: Convert to fraction form
    286,054/629,237 = 629,237/x
  3. Step 3: Cross multiply
    286,054x = 629,237 × 629,237
  4. Step 4: Simplify right side
    286,054x = 395,939,202,169
  5. Step 5: Solve for x
    x = 395,939,202,169/286,054
  6. Step 6: Final answer
    x = 1,384,141.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.