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Finding the Third Proportional to 1,446,489,268 and 3,139,567,484

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Solution

The third proportional to 1,446,489,268 and 3,139,567,484 is: 6,814,349,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,489,268 : 3,139,567,484 = 3,139,567,484 : x
  2. Step 2: Convert to fraction form
    1,446,489,268/3,139,567,484 = 3,139,567,484/x
  3. Step 3: Cross multiply
    1,446,489,268x = 3,139,567,484 × 3,139,567,484
  4. Step 4: Simplify right side
    1,446,489,268x = 9,856,883,986,590,091,264
  5. Step 5: Solve for x
    x = 9,856,883,986,590,091,264/1,446,489,268
  6. Step 6: Final answer
    x = 6,814,349,891.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.