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Finding the Third Proportional to 189,852 and 417,600

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Solution

The third proportional to 189,852 and 417,600 is: 918,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,852 : 417,600 = 417,600 : x
  2. Step 2: Convert to fraction form
    189,852/417,600 = 417,600/x
  3. Step 3: Cross multiply
    189,852x = 417,600 × 417,600
  4. Step 4: Simplify right side
    189,852x = 174,389,760,000
  5. Step 5: Solve for x
    x = 174,389,760,000/189,852
  6. Step 6: Final answer
    x = 918,556.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.