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Finding the Third Proportional to 189,984 and 417,888

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Solution

The third proportional to 189,984 and 417,888 is: 919,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,984 : 417,888 = 417,888 : x
  2. Step 2: Convert to fraction form
    189,984/417,888 = 417,888/x
  3. Step 3: Cross multiply
    189,984x = 417,888 × 417,888
  4. Step 4: Simplify right side
    189,984x = 174,630,380,544
  5. Step 5: Solve for x
    x = 174,630,380,544/189,984
  6. Step 6: Final answer
    x = 919,184.67

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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.