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Finding the Third Proportional to 428,283,296,764 and 640,726,881,342

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Solution

The third proportional to 428,283,296,764 and 640,726,881,342 is: 958,549,958,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,283,296,764 : 640,726,881,342 = 640,726,881,342 : x
  2. Step 2: Convert to fraction form
    428,283,296,764/640,726,881,342 = 640,726,881,342/x
  3. Step 3: Cross multiply
    428,283,296,764x = 640,726,881,342 × 640,726,881,342
  4. Step 4: Simplify right side
    428,283,296,764x = 410,530,936,474,245,338,759,168
  5. Step 5: Solve for x
    x = 410,530,936,474,245,338,759,168/428,283,296,764
  6. Step 6: Final answer
    x = 958,549,958,814.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.