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Finding the Third Proportional to 46,990 and 68,721

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Solution

The third proportional to 46,990 and 68,721 is: 100,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990 : 68,721 = 68,721 : x
  2. Step 2: Convert to fraction form
    46,990/68,721 = 68,721/x
  3. Step 3: Cross multiply
    46,990x = 68,721 × 68,721
  4. Step 4: Simplify right side
    46,990x = 4,722,575,841
  5. Step 5: Solve for x
    x = 4,722,575,841/46,990
  6. Step 6: Final answer
    x = 100,501.72

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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.