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Finding the Third Proportional to 57,640 and 90,224

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Solution

The third proportional to 57,640 and 90,224 is: 141,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,640 : 90,224 = 90,224 : x
  2. Step 2: Convert to fraction form
    57,640/90,224 = 90,224/x
  3. Step 3: Cross multiply
    57,640x = 90,224 × 90,224
  4. Step 4: Simplify right side
    57,640x = 8,140,370,176
  5. Step 5: Solve for x
    x = 8,140,370,176/57,640
  6. Step 6: Final answer
    x = 141,227.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.