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Finding the Third Proportional to 86,495 and 189,385

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Solution

The third proportional to 86,495 and 189,385 is: 414,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,495 : 189,385 = 189,385 : x
  2. Step 2: Convert to fraction form
    86,495/189,385 = 189,385/x
  3. Step 3: Cross multiply
    86,495x = 189,385 × 189,385
  4. Step 4: Simplify right side
    86,495x = 35,866,678,225
  5. Step 5: Solve for x
    x = 35,866,678,225/86,495
  6. Step 6: Final answer
    x = 414,667.65

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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.