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Finding the Third Proportional to 428,283,296,760 and 640,726,881,336

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Solution

The third proportional to 428,283,296,760 and 640,726,881,336 is: 958,549,958,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,283,296,760 : 640,726,881,336 = 640,726,881,336 : x
  2. Step 2: Convert to fraction form
    428,283,296,760/640,726,881,336 = 640,726,881,336/x
  3. Step 3: Cross multiply
    428,283,296,760x = 640,726,881,336 × 640,726,881,336
  4. Step 4: Simplify right side
    428,283,296,760x = 410,530,936,466,556,609,101,824
  5. Step 5: Solve for x
    x = 410,530,936,466,556,609,101,824/428,283,296,760
  6. Step 6: Final answer
    x = 958,549,958,805.91

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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.