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Finding the Third Proportional to 47,640 and 102,813

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Solution

The third proportional to 47,640 and 102,813 is: 221,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640 : 102,813 = 102,813 : x
  2. Step 2: Convert to fraction form
    47,640/102,813 = 102,813/x
  3. Step 3: Cross multiply
    47,640x = 102,813 × 102,813
  4. Step 4: Simplify right side
    47,640x = 10,570,512,969
  5. Step 5: Solve for x
    x = 10,570,512,969/47,640
  6. Step 6: Final answer
    x = 221,883.14

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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.