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Finding the Third Proportional to 201,480 and 434,435.25

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Solution

The third proportional to 201,480 and 434,435.25 is: 936,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,480 : 434,435.25 = 434,435.25 : x
  2. Step 2: Convert to fraction form
    201,480/434,435.25 = 434,435.25/x
  3. Step 3: Cross multiply
    201,480x = 434,435.25 × 434,435.25
  4. Step 4: Simplify right side
    201,480x = 188,733,986,442.56
  5. Step 5: Solve for x
    x = 188,733,986,442.56/201,480
  6. Step 6: Final answer
    x = 936,738.07

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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.