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Finding the Third Proportional to 88,872 and 189,984

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Solution

The third proportional to 88,872 and 189,984 is: 406,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,872 : 189,984 = 189,984 : x
  2. Step 2: Convert to fraction form
    88,872/189,984 = 189,984/x
  3. Step 3: Cross multiply
    88,872x = 189,984 × 189,984
  4. Step 4: Simplify right side
    88,872x = 36,093,920,256
  5. Step 5: Solve for x
    x = 36,093,920,256/88,872
  6. Step 6: Final answer
    x = 406,133.77

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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.