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Finding the Third Proportional to 20,983 and 46,628

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Solution

The third proportional to 20,983 and 46,628 is: 103,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983 : 46,628 = 46,628 : x
  2. Step 2: Convert to fraction form
    20,983/46,628 = 46,628/x
  3. Step 3: Cross multiply
    20,983x = 46,628 × 46,628
  4. Step 4: Simplify right side
    20,983x = 2,174,170,384
  5. Step 5: Solve for x
    x = 2,174,170,384/20,983
  6. Step 6: Final answer
    x = 103,615.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.