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Finding the Third Proportional to 7,382,478 and 11,557,570

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Solution

The third proportional to 7,382,478 and 11,557,570 is: 18,093,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382,478 : 11,557,570 = 11,557,570 : x
  2. Step 2: Convert to fraction form
    7,382,478/11,557,570 = 11,557,570/x
  3. Step 3: Cross multiply
    7,382,478x = 11,557,570 × 11,557,570
  4. Step 4: Simplify right side
    7,382,478x = 133,577,424,304,900
  5. Step 5: Solve for x
    x = 133,577,424,304,900/7,382,478
  6. Step 6: Final answer
    x = 18,093,846.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.