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Finding the Third Proportional to 201,388.78 and 434,295.42

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Solution

The third proportional to 201,388.78 and 434,295.42 is: 936,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,388.78 : 434,295.42 = 434,295.42 : x
  2. Step 2: Convert to fraction form
    201,388.78/434,295.42 = 434,295.42/x
  3. Step 3: Cross multiply
    201,388.78x = 434,295.42 × 434,295.42
  4. Step 4: Simplify right side
    201,388.78x = 188,612,513,461.58
  5. Step 5: Solve for x
    x = 188,612,513,461.58/201,388.78
  6. Step 6: Final answer
    x = 936,559.19

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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.