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Finding the Third Proportional to 213,815.25 and 459,218.25

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Solution

The third proportional to 213,815.25 and 459,218.25 is: 986,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,815.25 : 459,218.25 = 459,218.25 : x
  2. Step 2: Convert to fraction form
    213,815.25/459,218.25 = 459,218.25/x
  3. Step 3: Cross multiply
    213,815.25x = 459,218.25 × 459,218.25
  4. Step 4: Simplify right side
    213,815.25x = 210,881,401,133.06
  5. Step 5: Solve for x
    x = 210,881,401,133.06/213,815.25
  6. Step 6: Final answer
    x = 986,278.58

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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.