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Finding the Third Proportional to 199,085,396 and 414,062,988

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Solution

The third proportional to 199,085,396 and 414,062,988 is: 861,178,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,085,396 : 414,062,988 = 414,062,988 : x
  2. Step 2: Convert to fraction form
    199,085,396/414,062,988 = 414,062,988/x
  3. Step 3: Cross multiply
    199,085,396x = 414,062,988 × 414,062,988
  4. Step 4: Simplify right side
    199,085,396x = 171,448,158,031,488,128
  5. Step 5: Solve for x
    x = 171,448,158,031,488,128/199,085,396
  6. Step 6: Final answer
    x = 861,178,978.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.