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Finding the Third Proportional to 94,104 and 201,852

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Solution

The third proportional to 94,104 and 201,852 is: 432,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,104 : 201,852 = 201,852 : x
  2. Step 2: Convert to fraction form
    94,104/201,852 = 201,852/x
  3. Step 3: Cross multiply
    94,104x = 201,852 × 201,852
  4. Step 4: Simplify right side
    94,104x = 40,744,229,904
  5. Step 5: Solve for x
    x = 40,744,229,904/94,104
  6. Step 6: Final answer
    x = 432,970.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.