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Finding the Third Proportional to 4,205,818 and 9,120,219

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Solution

The third proportional to 4,205,818 and 9,120,219 is: 19,776,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,818 : 9,120,219 = 9,120,219 : x
  2. Step 2: Convert to fraction form
    4,205,818/9,120,219 = 9,120,219/x
  3. Step 3: Cross multiply
    4,205,818x = 9,120,219 × 9,120,219
  4. Step 4: Simplify right side
    4,205,818x = 83,178,394,607,961
  5. Step 5: Solve for x
    x = 83,178,394,607,961/4,205,818
  6. Step 6: Final answer
    x = 19,776,983.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.