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Finding the Third Proportional to 189,216 and 407,808

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Solution

The third proportional to 189,216 and 407,808 is: 878,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,216 : 407,808 = 407,808 : x
  2. Step 2: Convert to fraction form
    189,216/407,808 = 407,808/x
  3. Step 3: Cross multiply
    189,216x = 407,808 × 407,808
  4. Step 4: Simplify right side
    189,216x = 166,307,364,864
  5. Step 5: Solve for x
    x = 166,307,364,864/189,216
  6. Step 6: Final answer
    x = 878,928.66

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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.