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Finding the Third Proportional to 212,208 and 297,480

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Solution

The third proportional to 212,208 and 297,480 is: 417,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,208 : 297,480 = 297,480 : x
  2. Step 2: Convert to fraction form
    212,208/297,480 = 297,480/x
  3. Step 3: Cross multiply
    212,208x = 297,480 × 297,480
  4. Step 4: Simplify right side
    212,208x = 88,494,350,400
  5. Step 5: Solve for x
    x = 88,494,350,400/212,208
  6. Step 6: Final answer
    x = 417,017.03

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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.