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Finding the Third Proportional to 9,986,770.41 and 21,490,361.44

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Solution

The third proportional to 9,986,770.41 and 21,490,361.44 is: 46,244,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986,770.41 : 21,490,361.44 = 21,490,361.44 : x
  2. Step 2: Convert to fraction form
    9,986,770.41/21,490,361.44 = 21,490,361.44/x
  3. Step 3: Cross multiply
    9,986,770.41x = 21,490,361.44 × 21,490,361.44
  4. Step 4: Simplify right side
    9,986,770.41x = 461,835,634,714,387.06
  5. Step 5: Solve for x
    x = 461,835,634,714,387.06/9,986,770.41
  6. Step 6: Final answer
    x = 46,244,743.39

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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.