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Finding the Third Proportional to 9,021,947 and 21,051,937.25

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Solution

The third proportional to 9,021,947 and 21,051,937.25 is: 49,122,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021,947 : 21,051,937.25 = 21,051,937.25 : x
  2. Step 2: Convert to fraction form
    9,021,947/21,051,937.25 = 21,051,937.25/x
  3. Step 3: Cross multiply
    9,021,947x = 21,051,937.25 × 21,051,937.25
  4. Step 4: Simplify right side
    9,021,947x = 443,184,061,977,937.56
  5. Step 5: Solve for x
    x = 443,184,061,977,937.56/9,021,947
  6. Step 6: Final answer
    x = 49,122,884.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.