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Finding the Third Proportional to 299,335,804 and 640,039,530

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Solution

The third proportional to 299,335,804 and 640,039,530 is: 1,368,531,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,335,804 : 640,039,530 = 640,039,530 : x
  2. Step 2: Convert to fraction form
    299,335,804/640,039,530 = 640,039,530/x
  3. Step 3: Cross multiply
    299,335,804x = 640,039,530 × 640,039,530
  4. Step 4: Simplify right side
    299,335,804x = 409,650,599,962,620,928
  5. Step 5: Solve for x
    x = 409,650,599,962,620,928/299,335,804
  6. Step 6: Final answer
    x = 1,368,531,911.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.