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Finding the Third Proportional to 212,179.50 and 288,333

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Solution

The third proportional to 212,179.50 and 288,333 is: 391,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,179.50 : 288,333 = 288,333 : x
  2. Step 2: Convert to fraction form
    212,179.50/288,333 = 288,333/x
  3. Step 3: Cross multiply
    212,179.50x = 288,333 × 288,333
  4. Step 4: Simplify right side
    212,179.50x = 83,135,918,889
  5. Step 5: Solve for x
    x = 83,135,918,889/212,179.50
  6. Step 6: Final answer
    x = 391,818.81

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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.