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Finding the Third Proportional to 21,255,978 and 29,826,351

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Solution

The third proportional to 21,255,978 and 29,826,351 is: 41,852,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255,978 : 29,826,351 = 29,826,351 : x
  2. Step 2: Convert to fraction form
    21,255,978/29,826,351 = 29,826,351/x
  3. Step 3: Cross multiply
    21,255,978x = 29,826,351 × 29,826,351
  4. Step 4: Simplify right side
    21,255,978x = 889,611,213,975,201
  5. Step 5: Solve for x
    x = 889,611,213,975,201/21,255,978
  6. Step 6: Final answer
    x = 41,852,283.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.