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Finding the Third Proportional to 9,049,698 and 19,283,332.50

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Solution

The third proportional to 9,049,698 and 19,283,332.50 is: 41,089,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049,698 : 19,283,332.50 = 19,283,332.50 : x
  2. Step 2: Convert to fraction form
    9,049,698/19,283,332.50 = 19,283,332.50/x
  3. Step 3: Cross multiply
    9,049,698x = 19,283,332.50 × 19,283,332.50
  4. Step 4: Simplify right side
    9,049,698x = 371,846,912,305,556.25
  5. Step 5: Solve for x
    x = 371,846,912,305,556.25/9,049,698
  6. Step 6: Final answer
    x = 41,089,427.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.