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Finding the Third Proportional to 298,914,965 and 646,958,536

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Solution

The third proportional to 298,914,965 and 646,958,536 is: 1,400,248,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,914,965 : 646,958,536 = 646,958,536 : x
  2. Step 2: Convert to fraction form
    298,914,965/646,958,536 = 646,958,536/x
  3. Step 3: Cross multiply
    298,914,965x = 646,958,536 × 646,958,536
  4. Step 4: Simplify right side
    298,914,965x = 418,555,347,303,263,296
  5. Step 5: Solve for x
    x = 418,555,347,303,263,296/298,914,965
  6. Step 6: Final answer
    x = 1,400,248,887.85

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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.