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Finding the Third Proportional to 973,885,836 and 1,981,783,788

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Solution

The third proportional to 973,885,836 and 1,981,783,788 is: 4,032,779,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,885,836 : 1,981,783,788 = 1,981,783,788 : x
  2. Step 2: Convert to fraction form
    973,885,836/1,981,783,788 = 1,981,783,788/x
  3. Step 3: Cross multiply
    973,885,836x = 1,981,783,788 × 1,981,783,788
  4. Step 4: Simplify right side
    973,885,836x = 3,927,466,982,379,629,056
  5. Step 5: Solve for x
    x = 3,927,466,982,379,629,056/973,885,836
  6. Step 6: Final answer
    x = 4,032,779,651.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.