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Finding the Third Proportional to 212,400 and 459,216

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Solution

The third proportional to 212,400 and 459,216 is: 992,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,400 : 459,216 = 459,216 : x
  2. Step 2: Convert to fraction form
    212,400/459,216 = 459,216/x
  3. Step 3: Cross multiply
    212,400x = 459,216 × 459,216
  4. Step 4: Simplify right side
    212,400x = 210,879,334,656
  5. Step 5: Solve for x
    x = 210,879,334,656/212,400
  6. Step 6: Final answer
    x = 992,840.56

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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.