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Finding the Third Proportional to 212,036 and 457,288

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Solution

The third proportional to 212,036 and 457,288 is: 986,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,036 : 457,288 = 457,288 : x
  2. Step 2: Convert to fraction form
    212,036/457,288 = 457,288/x
  3. Step 3: Cross multiply
    212,036x = 457,288 × 457,288
  4. Step 4: Simplify right side
    212,036x = 209,112,314,944
  5. Step 5: Solve for x
    x = 209,112,314,944/212,036
  6. Step 6: Final answer
    x = 986,211.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.