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Finding the Third Proportional to 189,360 and 407,331

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Solution

The third proportional to 189,360 and 407,331 is: 876,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,360 : 407,331 = 407,331 : x
  2. Step 2: Convert to fraction form
    189,360/407,331 = 407,331/x
  3. Step 3: Cross multiply
    189,360x = 407,331 × 407,331
  4. Step 4: Simplify right side
    189,360x = 165,918,543,561
  5. Step 5: Solve for x
    x = 165,918,543,561/189,360
  6. Step 6: Final answer
    x = 876,206.93

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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.