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Finding the Third Proportional to 4,021,534 and 8,618,734

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Solution

The third proportional to 4,021,534 and 8,618,734 is: 18,471,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021,534 : 8,618,734 = 8,618,734 : x
  2. Step 2: Convert to fraction form
    4,021,534/8,618,734 = 8,618,734/x
  3. Step 3: Cross multiply
    4,021,534x = 8,618,734 × 8,618,734
  4. Step 4: Simplify right side
    4,021,534x = 74,282,575,762,756
  5. Step 5: Solve for x
    x = 74,282,575,762,756/4,021,534
  6. Step 6: Final answer
    x = 18,471,204.21

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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.