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Finding the Third Proportional to 213,086.25 and 459,382.50

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Solution

The third proportional to 213,086.25 and 459,382.50 is: 990,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,086.25 : 459,382.50 = 459,382.50 : x
  2. Step 2: Convert to fraction form
    213,086.25/459,382.50 = 459,382.50/x
  3. Step 3: Cross multiply
    213,086.25x = 459,382.50 × 459,382.50
  4. Step 4: Simplify right side
    213,086.25x = 211,032,281,306.25
  5. Step 5: Solve for x
    x = 211,032,281,306.25/213,086.25
  6. Step 6: Final answer
    x = 990,360.86

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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.