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Finding the Third Proportional to 44,128 and 90,272

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Solution

The third proportional to 44,128 and 90,272 is: 184,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,128 : 90,272 = 90,272 : x
  2. Step 2: Convert to fraction form
    44,128/90,272 = 90,272/x
  3. Step 3: Cross multiply
    44,128x = 90,272 × 90,272
  4. Step 4: Simplify right side
    44,128x = 8,149,033,984
  5. Step 5: Solve for x
    x = 8,149,033,984/44,128
  6. Step 6: Final answer
    x = 184,668.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.