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Finding the Third Proportional to 10,136,098 and 21,856,556

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Solution

The third proportional to 10,136,098 and 21,856,556 is: 47,129,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136,098 : 21,856,556 = 21,856,556 : x
  2. Step 2: Convert to fraction form
    10,136,098/21,856,556 = 21,856,556/x
  3. Step 3: Cross multiply
    10,136,098x = 21,856,556 × 21,856,556
  4. Step 4: Simplify right side
    10,136,098x = 477,709,040,181,136
  5. Step 5: Solve for x
    x = 477,709,040,181,136/10,136,098
  6. Step 6: Final answer
    x = 47,129,481.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.