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Finding the Third Proportional to 86,300 and 178,592

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Solution

The third proportional to 86,300 and 178,592 is: 369,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,300 : 178,592 = 178,592 : x
  2. Step 2: Convert to fraction form
    86,300/178,592 = 178,592/x
  3. Step 3: Cross multiply
    86,300x = 178,592 × 178,592
  4. Step 4: Simplify right side
    86,300x = 31,895,102,464
  5. Step 5: Solve for x
    x = 31,895,102,464/86,300
  6. Step 6: Final answer
    x = 369,584.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.