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Finding the Third Proportional to 21,681 and 46,980

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Solution

The third proportional to 21,681 and 46,980 is: 101,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681 : 46,980 = 46,980 : x
  2. Step 2: Convert to fraction form
    21,681/46,980 = 46,980/x
  3. Step 3: Cross multiply
    21,681x = 46,980 × 46,980
  4. Step 4: Simplify right side
    21,681x = 2,207,120,400
  5. Step 5: Solve for x
    x = 2,207,120,400/21,681
  6. Step 6: Final answer
    x = 101,799.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.