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Finding the Third Proportional to 10,221,309 and 20,742,966

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Solution

The third proportional to 10,221,309 and 20,742,966 is: 42,095,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221,309 : 20,742,966 = 20,742,966 : x
  2. Step 2: Convert to fraction form
    10,221,309/20,742,966 = 20,742,966/x
  3. Step 3: Cross multiply
    10,221,309x = 20,742,966 × 20,742,966
  4. Step 4: Simplify right side
    10,221,309x = 430,270,638,477,156
  5. Step 5: Solve for x
    x = 430,270,638,477,156/10,221,309
  6. Step 6: Final answer
    x = 42,095,453.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.