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Finding the Third Proportional to 643,863,026.25 and 1,394,689,978.13

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Solution

The third proportional to 643,863,026.25 and 1,394,689,978.13 is: 3,021,077,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,863,026.25 : 1,394,689,978.13 = 1,394,689,978.13 : x
  2. Step 2: Convert to fraction form
    643,863,026.25/1,394,689,978.13 = 1,394,689,978.13/x
  3. Step 3: Cross multiply
    643,863,026.25x = 1,394,689,978.13 × 1,394,689,978.13
  4. Step 4: Simplify right side
    643,863,026.25x = 1,945,160,135,082,312,960
  5. Step 5: Solve for x
    x = 1,945,160,135,082,312,960/643,863,026.25
  6. Step 6: Final answer
    x = 3,021,077,551.87

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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.