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Finding the Third Proportional to 89,308 and 192,639

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Solution

The third proportional to 89,308 and 192,639 is: 415,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,308 : 192,639 = 192,639 : x
  2. Step 2: Convert to fraction form
    89,308/192,639 = 192,639/x
  3. Step 3: Cross multiply
    89,308x = 192,639 × 192,639
  4. Step 4: Simplify right side
    89,308x = 37,109,784,321
  5. Step 5: Solve for x
    x = 37,109,784,321/89,308
  6. Step 6: Final answer
    x = 415,525.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.