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Finding the Third Proportional to 1,461,555,403 and 3,410,413,806

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Solution

The third proportional to 1,461,555,403 and 3,410,413,806 is: 7,957,907,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,555,403 : 3,410,413,806 = 3,410,413,806 : x
  2. Step 2: Convert to fraction form
    1,461,555,403/3,410,413,806 = 3,410,413,806/x
  3. Step 3: Cross multiply
    1,461,555,403x = 3,410,413,806 × 3,410,413,806
  4. Step 4: Simplify right side
    1,461,555,403x = 11,630,922,328,155,406,336
  5. Step 5: Solve for x
    x = 11,630,922,328,155,406,336/1,461,555,403
  6. Step 6: Final answer
    x = 7,957,907,243.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.