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Finding the Third Proportional to 9,986,278 and 21,515,214

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Solution

The third proportional to 9,986,278 and 21,515,214 is: 46,354,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986,278 : 21,515,214 = 21,515,214 : x
  2. Step 2: Convert to fraction form
    9,986,278/21,515,214 = 21,515,214/x
  3. Step 3: Cross multiply
    9,986,278x = 21,515,214 × 21,515,214
  4. Step 4: Simplify right side
    9,986,278x = 462,904,433,465,796
  5. Step 5: Solve for x
    x = 462,904,433,465,796/9,986,278
  6. Step 6: Final answer
    x = 46,354,050.37

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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.