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Finding the Third Proportional to 309,170,776 and 666,765,512

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Solution

The third proportional to 309,170,776 and 666,765,512 is: 1,437,963,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,170,776 : 666,765,512 = 666,765,512 : x
  2. Step 2: Convert to fraction form
    309,170,776/666,765,512 = 666,765,512/x
  3. Step 3: Cross multiply
    309,170,776x = 666,765,512 × 666,765,512
  4. Step 4: Simplify right side
    309,170,776x = 444,576,247,992,622,144
  5. Step 5: Solve for x
    x = 444,576,247,992,622,144/309,170,776
  6. Step 6: Final answer
    x = 1,437,963,360.39

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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.