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Finding the Third Proportional to 5,447,829 and 8,777,907

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Solution

The third proportional to 5,447,829 and 8,777,907 is: 14,143,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447,829 : 8,777,907 = 8,777,907 : x
  2. Step 2: Convert to fraction form
    5,447,829/8,777,907 = 8,777,907/x
  3. Step 3: Cross multiply
    5,447,829x = 8,777,907 × 8,777,907
  4. Step 4: Simplify right side
    5,447,829x = 77,051,651,300,649
  5. Step 5: Solve for x
    x = 77,051,651,300,649/5,447,829
  6. Step 6: Final answer
    x = 14,143,551.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.