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Finding the Third Proportional to 643,883,600 and 1,396,653,440

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Solution

The third proportional to 643,883,600 and 1,396,653,440 is: 3,029,492,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,883,600 : 1,396,653,440 = 1,396,653,440 : x
  2. Step 2: Convert to fraction form
    643,883,600/1,396,653,440 = 1,396,653,440/x
  3. Step 3: Cross multiply
    643,883,600x = 1,396,653,440 × 1,396,653,440
  4. Step 4: Simplify right side
    643,883,600x = 1,950,640,831,463,833,600
  5. Step 5: Solve for x
    x = 1,950,640,831,463,833,600/643,883,600
  6. Step 6: Final answer
    x = 3,029,492,957.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.