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Finding the Third Proportional to 308,287,463 and 445,422,128

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Solution

The third proportional to 308,287,463 and 445,422,128 is: 643,558,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,287,463 : 445,422,128 = 445,422,128 : x
  2. Step 2: Convert to fraction form
    308,287,463/445,422,128 = 445,422,128/x
  3. Step 3: Cross multiply
    308,287,463x = 445,422,128 × 445,422,128
  4. Step 4: Simplify right side
    308,287,463x = 198,400,872,112,048,384
  5. Step 5: Solve for x
    x = 198,400,872,112,048,384/308,287,463
  6. Step 6: Final answer
    x = 643,558,029.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.