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Finding the Third Proportional to 213,240 and 459,288

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Solution

The third proportional to 213,240 and 459,288 is: 989,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,240 : 459,288 = 459,288 : x
  2. Step 2: Convert to fraction form
    213,240/459,288 = 459,288/x
  3. Step 3: Cross multiply
    213,240x = 459,288 × 459,288
  4. Step 4: Simplify right side
    213,240x = 210,945,466,944
  5. Step 5: Solve for x
    x = 210,945,466,944/213,240
  6. Step 6: Final answer
    x = 989,239.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.