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Finding the Third Proportional to 483,693,846 and 987,689,835

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Solution

The third proportional to 483,693,846 and 987,689,835 is: 2,016,836,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,693,846 : 987,689,835 = 987,689,835 : x
  2. Step 2: Convert to fraction form
    483,693,846/987,689,835 = 987,689,835/x
  3. Step 3: Cross multiply
    483,693,846x = 987,689,835 × 987,689,835
  4. Step 4: Simplify right side
    483,693,846x = 975,531,210,162,327,168
  5. Step 5: Solve for x
    x = 975,531,210,162,327,168/483,693,846
  6. Step 6: Final answer
    x = 2,016,836,100.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.