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Finding the Third Proportional to 86,784 and 189,408

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Solution

The third proportional to 86,784 and 189,408 is: 413,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,784 : 189,408 = 189,408 : x
  2. Step 2: Convert to fraction form
    86,784/189,408 = 189,408/x
  3. Step 3: Cross multiply
    86,784x = 189,408 × 189,408
  4. Step 4: Simplify right side
    86,784x = 35,875,390,464
  5. Step 5: Solve for x
    x = 35,875,390,464/86,784
  6. Step 6: Final answer
    x = 413,387.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.