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Finding the Third Proportional to 53,380 and 82,660

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Solution

The third proportional to 53,380 and 82,660 is: 128,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,380 : 82,660 = 82,660 : x
  2. Step 2: Convert to fraction form
    53,380/82,660 = 82,660/x
  3. Step 3: Cross multiply
    53,380x = 82,660 × 82,660
  4. Step 4: Simplify right side
    53,380x = 6,832,675,600
  5. Step 5: Solve for x
    x = 6,832,675,600/53,380
  6. Step 6: Final answer
    x = 128,000.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.