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Finding the Third Proportional to 920,445,888 and 1,977,500,512

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Solution

The third proportional to 920,445,888 and 1,977,500,512 is: 4,248,493,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,445,888 : 1,977,500,512 = 1,977,500,512 : x
  2. Step 2: Convert to fraction form
    920,445,888/1,977,500,512 = 1,977,500,512/x
  3. Step 3: Cross multiply
    920,445,888x = 1,977,500,512 × 1,977,500,512
  4. Step 4: Simplify right side
    920,445,888x = 3,910,508,274,960,262,144
  5. Step 5: Solve for x
    x = 3,910,508,274,960,262,144/920,445,888
  6. Step 6: Final answer
    x = 4,248,493,394.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.