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Finding the Third Proportional to 446,253,343 and 964,211,854

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Solution

The third proportional to 446,253,343 and 964,211,854 is: 2,083,355,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,253,343 : 964,211,854 = 964,211,854 : x
  2. Step 2: Convert to fraction form
    446,253,343/964,211,854 = 964,211,854/x
  3. Step 3: Cross multiply
    446,253,343x = 964,211,854 × 964,211,854
  4. Step 4: Simplify right side
    446,253,343x = 929,704,499,394,117,376
  5. Step 5: Solve for x
    x = 929,704,499,394,117,376/446,253,343
  6. Step 6: Final answer
    x = 2,083,355,820.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.