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Finding the Third Proportional to 821,427,503 and 1,937,136,979

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Solution

The third proportional to 821,427,503 and 1,937,136,979 is: 4,568,266,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,427,503 : 1,937,136,979 = 1,937,136,979 : x
  2. Step 2: Convert to fraction form
    821,427,503/1,937,136,979 = 1,937,136,979/x
  3. Step 3: Cross multiply
    821,427,503x = 1,937,136,979 × 1,937,136,979
  4. Step 4: Simplify right side
    821,427,503x = 3,752,499,675,409,246,208
  5. Step 5: Solve for x
    x = 3,752,499,675,409,246,208/821,427,503
  6. Step 6: Final answer
    x = 4,568,266,416.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.