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Finding the Third Proportional to 643,942,884 and 1,389,863,392

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Solution

The third proportional to 643,942,884 and 1,389,863,392 is: 2,999,831,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,942,884 : 1,389,863,392 = 1,389,863,392 : x
  2. Step 2: Convert to fraction form
    643,942,884/1,389,863,392 = 1,389,863,392/x
  3. Step 3: Cross multiply
    643,942,884x = 1,389,863,392 × 1,389,863,392
  4. Step 4: Simplify right side
    643,942,884x = 1,931,720,248,421,745,664
  5. Step 5: Solve for x
    x = 1,931,720,248,421,745,664/643,942,884
  6. Step 6: Final answer
    x = 2,999,831,656.53

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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.