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Finding the Third Proportional to 212,030 and 297,158

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Solution

The third proportional to 212,030 and 297,158 is: 416,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,030 : 297,158 = 297,158 : x
  2. Step 2: Convert to fraction form
    212,030/297,158 = 297,158/x
  3. Step 3: Cross multiply
    212,030x = 297,158 × 297,158
  4. Step 4: Simplify right side
    212,030x = 88,302,876,964
  5. Step 5: Solve for x
    x = 88,302,876,964/212,030
  6. Step 6: Final answer
    x = 416,464.07

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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.