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Finding the Third Proportional to 8,447,706 and 17,289,072

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Solution

The third proportional to 8,447,706 and 17,289,072 is: 35,383,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447,706 : 17,289,072 = 17,289,072 : x
  2. Step 2: Convert to fraction form
    8,447,706/17,289,072 = 17,289,072/x
  3. Step 3: Cross multiply
    8,447,706x = 17,289,072 × 17,289,072
  4. Step 4: Simplify right side
    8,447,706x = 298,912,010,621,184
  5. Step 5: Solve for x
    x = 298,912,010,621,184/8,447,706
  6. Step 6: Final answer
    x = 35,383,808.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.