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Finding the Third Proportional to 3,208,257 and 7,133,823

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Solution

The third proportional to 3,208,257 and 7,133,823 is: 15,862,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208,257 : 7,133,823 = 7,133,823 : x
  2. Step 2: Convert to fraction form
    3,208,257/7,133,823 = 7,133,823/x
  3. Step 3: Cross multiply
    3,208,257x = 7,133,823 × 7,133,823
  4. Step 4: Simplify right side
    3,208,257x = 50,891,430,595,329
  5. Step 5: Solve for x
    x = 50,891,430,595,329/3,208,257
  6. Step 6: Final answer
    x = 15,862,641.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.