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Finding the Third Proportional to 428,283,296,762 and 640,726,881,339

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Solution

The third proportional to 428,283,296,762 and 640,726,881,339 is: 958,549,958,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,283,296,762 : 640,726,881,339 = 640,726,881,339 : x
  2. Step 2: Convert to fraction form
    428,283,296,762/640,726,881,339 = 640,726,881,339/x
  3. Step 3: Cross multiply
    428,283,296,762x = 640,726,881,339 × 640,726,881,339
  4. Step 4: Simplify right side
    428,283,296,762x = 410,530,936,470,401,007,484,928
  5. Step 5: Solve for x
    x = 410,530,936,470,401,007,484,928/428,283,296,762
  6. Step 6: Final answer
    x = 958,549,958,810.41

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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.