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Finding the Third Proportional to 8,220.75 and 12,042.38

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Solution

The third proportional to 8,220.75 and 12,042.38 is: 17,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.75 : 12,042.38 = 12,042.38 : x
  2. Step 2: Convert to fraction form
    8,220.75/12,042.38 = 12,042.38/x
  3. Step 3: Cross multiply
    8,220.75x = 12,042.38 × 12,042.38
  4. Step 4: Simplify right side
    8,220.75x = 145,018,795.64
  5. Step 5: Solve for x
    x = 145,018,795.64/8,220.75
  6. Step 6: Final answer
    x = 17,640.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.