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Finding the Third Proportional to 286,694.44 and 434,506.78

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Solution

The third proportional to 286,694.44 and 434,506.78 is: 658,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,694.44 : 434,506.78 = 434,506.78 : x
  2. Step 2: Convert to fraction form
    286,694.44/434,506.78 = 434,506.78/x
  3. Step 3: Cross multiply
    286,694.44x = 434,506.78 × 434,506.78
  4. Step 4: Simplify right side
    286,694.44x = 188,796,142,952.24
  5. Step 5: Solve for x
    x = 188,796,142,952.24/286,694.44
  6. Step 6: Final answer
    x = 658,527.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.