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Finding the Third Proportional to 9,986,270 and 21,515,197

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Solution

The third proportional to 9,986,270 and 21,515,197 is: 46,354,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986,270 : 21,515,197 = 21,515,197 : x
  2. Step 2: Convert to fraction form
    9,986,270/21,515,197 = 21,515,197/x
  3. Step 3: Cross multiply
    9,986,270x = 21,515,197 × 21,515,197
  4. Step 4: Simplify right side
    9,986,270x = 462,903,701,948,809
  5. Step 5: Solve for x
    x = 462,903,701,948,809/9,986,270
  6. Step 6: Final answer
    x = 46,354,014.26

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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.