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Finding the Third Proportional to 49,403 and 76,640

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Solution

The third proportional to 49,403 and 76,640 is: 118,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,403 : 76,640 = 76,640 : x
  2. Step 2: Convert to fraction form
    49,403/76,640 = 76,640/x
  3. Step 3: Cross multiply
    49,403x = 76,640 × 76,640
  4. Step 4: Simplify right side
    49,403x = 5,873,689,600
  5. Step 5: Solve for x
    x = 5,873,689,600/49,403
  6. Step 6: Final answer
    x = 118,893.38

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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.