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Finding the Third Proportional to 213,243.19 and 459,534.38

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Solution

The third proportional to 213,243.19 and 459,534.38 is: 990,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,243.19 : 459,534.38 = 459,534.38 : x
  2. Step 2: Convert to fraction form
    213,243.19/459,534.38 = 459,534.38/x
  3. Step 3: Cross multiply
    213,243.19x = 459,534.38 × 459,534.38
  4. Step 4: Simplify right side
    213,243.19x = 211,171,841,806.64
  5. Step 5: Solve for x
    x = 211,171,841,806.64/213,243.19
  6. Step 6: Final answer
    x = 990,286.46

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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.