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Finding the Third Proportional to 189,090 and 408,672

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Solution

The third proportional to 189,090 and 408,672 is: 883,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,090 : 408,672 = 408,672 : x
  2. Step 2: Convert to fraction form
    189,090/408,672 = 408,672/x
  3. Step 3: Cross multiply
    189,090x = 408,672 × 408,672
  4. Step 4: Simplify right side
    189,090x = 167,012,803,584
  5. Step 5: Solve for x
    x = 167,012,803,584/189,090
  6. Step 6: Final answer
    x = 883,245.03

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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.