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Finding the Third Proportional to 213,870.38 and 286,200.84

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Solution

The third proportional to 213,870.38 and 286,200.84 is: 382,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,870.38 : 286,200.84 = 286,200.84 : x
  2. Step 2: Convert to fraction form
    213,870.38/286,200.84 = 286,200.84/x
  3. Step 3: Cross multiply
    213,870.38x = 286,200.84 × 286,200.84
  4. Step 4: Simplify right side
    213,870.38x = 81,910,922,963.21
  5. Step 5: Solve for x
    x = 81,910,922,963.21/213,870.38
  6. Step 6: Final answer
    x = 382,993.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.