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Finding the Third Proportional to 286,027 and 388,021.50

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Solution

The third proportional to 286,027 and 388,021.50 is: 526,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,027 : 388,021.50 = 388,021.50 : x
  2. Step 2: Convert to fraction form
    286,027/388,021.50 = 388,021.50/x
  3. Step 3: Cross multiply
    286,027x = 388,021.50 × 388,021.50
  4. Step 4: Simplify right side
    286,027x = 150,560,684,462.25
  5. Step 5: Solve for x
    x = 150,560,684,462.25/286,027
  6. Step 6: Final answer
    x = 526,386.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.