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Finding the Third Proportional to 298,914,963 and 646,958,532

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Solution

The third proportional to 298,914,963 and 646,958,532 is: 1,400,248,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,914,963 : 646,958,532 = 646,958,532 : x
  2. Step 2: Convert to fraction form
    298,914,963/646,958,532 = 646,958,532/x
  3. Step 3: Cross multiply
    298,914,963x = 646,958,532 × 646,958,532
  4. Step 4: Simplify right side
    298,914,963x = 418,555,342,127,595,008
  5. Step 5: Solve for x
    x = 418,555,342,127,595,008/298,914,963
  6. Step 6: Final answer
    x = 1,400,248,879.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.