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Finding the Third Proportional to 21,678 and 46,590.75

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Solution

The third proportional to 21,678 and 46,590.75 is: 100,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678 : 46,590.75 = 46,590.75 : x
  2. Step 2: Convert to fraction form
    21,678/46,590.75 = 46,590.75/x
  3. Step 3: Cross multiply
    21,678x = 46,590.75 × 46,590.75
  4. Step 4: Simplify right side
    21,678x = 2,170,697,985.56
  5. Step 5: Solve for x
    x = 2,170,697,985.56/21,678
  6. Step 6: Final answer
    x = 100,133.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.