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Finding the Third Proportional to 212,028.75 and 297,156.38

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Solution

The third proportional to 212,028.75 and 297,156.38 is: 416,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,028.75 : 297,156.38 = 297,156.38 : x
  2. Step 2: Convert to fraction form
    212,028.75/297,156.38 = 297,156.38/x
  3. Step 3: Cross multiply
    212,028.75x = 297,156.38 × 297,156.38
  4. Step 4: Simplify right side
    212,028.75x = 88,301,911,203.14
  5. Step 5: Solve for x
    x = 88,301,911,203.14/212,028.75
  6. Step 6: Final answer
    x = 416,461.97

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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.