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Finding the Third Proportional to 861,438,096 and 1,878,787,422

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Solution

The third proportional to 861,438,096 and 1,878,787,422 is: 4,097,615,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,438,096 : 1,878,787,422 = 1,878,787,422 : x
  2. Step 2: Convert to fraction form
    861,438,096/1,878,787,422 = 1,878,787,422/x
  3. Step 3: Cross multiply
    861,438,096x = 1,878,787,422 × 1,878,787,422
  4. Step 4: Simplify right side
    861,438,096x = 3,529,842,177,065,405,952
  5. Step 5: Solve for x
    x = 3,529,842,177,065,405,952/861,438,096
  6. Step 6: Final answer
    x = 4,097,615,595.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.