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Finding the Third Proportional to 428,283,296,768 and 640,726,881,348

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Solution

The third proportional to 428,283,296,768 and 640,726,881,348 is: 958,549,958,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,283,296,768 : 640,726,881,348 = 640,726,881,348 : x
  2. Step 2: Convert to fraction form
    428,283,296,768/640,726,881,348 = 640,726,881,348/x
  3. Step 3: Cross multiply
    428,283,296,768x = 640,726,881,348 × 640,726,881,348
  4. Step 4: Simplify right side
    428,283,296,768x = 410,530,936,481,934,068,416,512
  5. Step 5: Solve for x
    x = 410,530,936,481,934,068,416,512/428,283,296,768
  6. Step 6: Final answer
    x = 958,549,958,823.91

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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.