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Finding the Third Proportional to 13,432,968 and 20,188,820

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Solution

The third proportional to 13,432,968 and 20,188,820 is: 30,342,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432,968 : 20,188,820 = 20,188,820 : x
  2. Step 2: Convert to fraction form
    13,432,968/20,188,820 = 20,188,820/x
  3. Step 3: Cross multiply
    13,432,968x = 20,188,820 × 20,188,820
  4. Step 4: Simplify right side
    13,432,968x = 407,588,452,992,400
  5. Step 5: Solve for x
    x = 407,588,452,992,400/13,432,968
  6. Step 6: Final answer
    x = 30,342,397.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.