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Finding the Third Proportional to 88,670 and 189,805

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Solution

The third proportional to 88,670 and 189,805 is: 406,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,670 : 189,805 = 189,805 : x
  2. Step 2: Convert to fraction form
    88,670/189,805 = 189,805/x
  3. Step 3: Cross multiply
    88,670x = 189,805 × 189,805
  4. Step 4: Simplify right side
    88,670x = 36,025,938,025
  5. Step 5: Solve for x
    x = 36,025,938,025/88,670
  6. Step 6: Final answer
    x = 406,292.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.