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Finding the Third Proportional to 212,000 and 286,896

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Solution

The third proportional to 212,000 and 286,896 is: 388,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,000 : 286,896 = 286,896 : x
  2. Step 2: Convert to fraction form
    212,000/286,896 = 286,896/x
  3. Step 3: Cross multiply
    212,000x = 286,896 × 286,896
  4. Step 4: Simplify right side
    212,000x = 82,309,314,816
  5. Step 5: Solve for x
    x = 82,309,314,816/212,000
  6. Step 6: Final answer
    x = 388,251.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.