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Finding the Third Proportional to 86,468 and 189,339

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Solution

The third proportional to 86,468 and 189,339 is: 414,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,468 : 189,339 = 189,339 : x
  2. Step 2: Convert to fraction form
    86,468/189,339 = 189,339/x
  3. Step 3: Cross multiply
    86,468x = 189,339 × 189,339
  4. Step 4: Simplify right side
    86,468x = 35,849,256,921
  5. Step 5: Solve for x
    x = 35,849,256,921/86,468
  6. Step 6: Final answer
    x = 414,595.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.