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Finding the Third Proportional to 189,618.15 and 407,376.37

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Solution

The third proportional to 189,618.15 and 407,376.37 is: 875,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,618.15 : 407,376.37 = 407,376.37 : x
  2. Step 2: Convert to fraction form
    189,618.15/407,376.37 = 407,376.37/x
  3. Step 3: Cross multiply
    189,618.15x = 407,376.37 × 407,376.37
  4. Step 4: Simplify right side
    189,618.15x = 165,955,506,134.20
  5. Step 5: Solve for x
    x = 165,955,506,134.20/189,618.15
  6. Step 6: Final answer
    x = 875,208.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.