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Finding the Third Proportional to 8,509,968 and 18,215,820

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Solution

The third proportional to 8,509,968 and 18,215,820 is: 38,991,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,968 : 18,215,820 = 18,215,820 : x
  2. Step 2: Convert to fraction form
    8,509,968/18,215,820 = 18,215,820/x
  3. Step 3: Cross multiply
    8,509,968x = 18,215,820 × 18,215,820
  4. Step 4: Simplify right side
    8,509,968x = 331,816,098,272,400
  5. Step 5: Solve for x
    x = 331,816,098,272,400/8,509,968
  6. Step 6: Final answer
    x = 38,991,462.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.