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Finding the Third Proportional to 2,178,693 and 4,787,343

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Solution

The third proportional to 2,178,693 and 4,787,343 is: 10,519,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,693 : 4,787,343 = 4,787,343 : x
  2. Step 2: Convert to fraction form
    2,178,693/4,787,343 = 4,787,343/x
  3. Step 3: Cross multiply
    2,178,693x = 4,787,343 × 4,787,343
  4. Step 4: Simplify right side
    2,178,693x = 22,918,652,999,649
  5. Step 5: Solve for x
    x = 22,918,652,999,649/2,178,693
  6. Step 6: Final answer
    x = 10,519,450.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.