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Finding the Third Proportional to 9,819,489 and 21,338,685

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Solution

The third proportional to 9,819,489 and 21,338,685 is: 46,370,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819,489 : 21,338,685 = 21,338,685 : x
  2. Step 2: Convert to fraction form
    9,819,489/21,338,685 = 21,338,685/x
  3. Step 3: Cross multiply
    9,819,489x = 21,338,685 × 21,338,685
  4. Step 4: Simplify right side
    9,819,489x = 455,339,477,529,225
  5. Step 5: Solve for x
    x = 455,339,477,529,225/9,819,489
  6. Step 6: Final answer
    x = 46,370,995.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.