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Finding the Third Proportional to 643,942,888 and 1,389,863,398

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Solution

The third proportional to 643,942,888 and 1,389,863,398 is: 2,999,831,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,942,888 : 1,389,863,398 = 1,389,863,398 : x
  2. Step 2: Convert to fraction form
    643,942,888/1,389,863,398 = 1,389,863,398/x
  3. Step 3: Cross multiply
    643,942,888x = 1,389,863,398 × 1,389,863,398
  4. Step 4: Simplify right side
    643,942,888x = 1,931,720,265,100,106,496
  5. Step 5: Solve for x
    x = 1,931,720,265,100,106,496/643,942,888
  6. Step 6: Final answer
    x = 2,999,831,663.80

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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.