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Finding the Third Proportional to 21,178 and 46,711

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Solution

The third proportional to 21,178 and 46,711 is: 103,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178 : 46,711 = 46,711 : x
  2. Step 2: Convert to fraction form
    21,178/46,711 = 46,711/x
  3. Step 3: Cross multiply
    21,178x = 46,711 × 46,711
  4. Step 4: Simplify right side
    21,178x = 2,181,917,521
  5. Step 5: Solve for x
    x = 2,181,917,521/21,178
  6. Step 6: Final answer
    x = 103,027.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.