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Finding the Third Proportional to 8,641,416 and 18,909,456

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Solution

The third proportional to 8,641,416 and 18,909,456 is: 41,378,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641,416 : 18,909,456 = 18,909,456 : x
  2. Step 2: Convert to fraction form
    8,641,416/18,909,456 = 18,909,456/x
  3. Step 3: Cross multiply
    8,641,416x = 18,909,456 × 18,909,456
  4. Step 4: Simplify right side
    8,641,416x = 357,567,526,215,936
  5. Step 5: Solve for x
    x = 357,567,526,215,936/8,641,416
  6. Step 6: Final answer
    x = 41,378,348.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.