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Finding the Third Proportional to 4,129,809 and 8,857,489

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Solution

The third proportional to 4,129,809 and 8,857,489 is: 18,997,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,809 : 8,857,489 = 8,857,489 : x
  2. Step 2: Convert to fraction form
    4,129,809/8,857,489 = 8,857,489/x
  3. Step 3: Cross multiply
    4,129,809x = 8,857,489 × 8,857,489
  4. Step 4: Simplify right side
    4,129,809x = 78,455,111,385,121
  5. Step 5: Solve for x
    x = 78,455,111,385,121/4,129,809
  6. Step 6: Final answer
    x = 18,997,273.57

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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.