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Finding the Third Proportional to 212,000 and 297,120

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Solution

The third proportional to 212,000 and 297,120 is: 416,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,000 : 297,120 = 297,120 : x
  2. Step 2: Convert to fraction form
    212,000/297,120 = 297,120/x
  3. Step 3: Cross multiply
    212,000x = 297,120 × 297,120
  4. Step 4: Simplify right side
    212,000x = 88,280,294,400
  5. Step 5: Solve for x
    x = 88,280,294,400/212,000
  6. Step 6: Final answer
    x = 416,416.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.