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Finding the Third Proportional to 212,716.97 and 459,276.86

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Solution

The third proportional to 212,716.97 and 459,276.86 is: 991,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,716.97 : 459,276.86 = 459,276.86 : x
  2. Step 2: Convert to fraction form
    212,716.97/459,276.86 = 459,276.86/x
  3. Step 3: Cross multiply
    212,716.97x = 459,276.86 × 459,276.86
  4. Step 4: Simplify right side
    212,716.97x = 210,935,229,969.26
  5. Step 5: Solve for x
    x = 210,935,229,969.26/212,716.97
  6. Step 6: Final answer
    x = 991,623.90

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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.