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Finding the Third Proportional to 9,718,059 and 21,266,449

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Solution

The third proportional to 9,718,059 and 21,266,449 is: 46,538,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718,059 : 21,266,449 = 21,266,449 : x
  2. Step 2: Convert to fraction form
    9,718,059/21,266,449 = 21,266,449/x
  3. Step 3: Cross multiply
    9,718,059x = 21,266,449 × 21,266,449
  4. Step 4: Simplify right side
    9,718,059x = 452,261,853,069,601
  5. Step 5: Solve for x
    x = 452,261,853,069,601/9,718,059
  6. Step 6: Final answer
    x = 46,538,290.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.