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Finding the Third Proportional to 290,921,625 and 646,413,453

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Solution

The third proportional to 290,921,625 and 646,413,453 is: 1,436,298,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,921,625 : 646,413,453 = 646,413,453 : x
  2. Step 2: Convert to fraction form
    290,921,625/646,413,453 = 646,413,453/x
  3. Step 3: Cross multiply
    290,921,625x = 646,413,453 × 646,413,453
  4. Step 4: Simplify right side
    290,921,625x = 417,850,352,219,383,232
  5. Step 5: Solve for x
    x = 417,850,352,219,383,232/290,921,625
  6. Step 6: Final answer
    x = 1,436,298,701.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.