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Finding the Third Proportional to 647,754,756 and 1,398,726,309

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Solution

The third proportional to 647,754,756 and 1,398,726,309 is: 3,020,333,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,754,756 : 1,398,726,309 = 1,398,726,309 : x
  2. Step 2: Convert to fraction form
    647,754,756/1,398,726,309 = 1,398,726,309/x
  3. Step 3: Cross multiply
    647,754,756x = 1,398,726,309 × 1,398,726,309
  4. Step 4: Simplify right side
    647,754,756x = 1,956,435,287,488,763,392
  5. Step 5: Solve for x
    x = 1,956,435,287,488,763,392/647,754,756
  6. Step 6: Final answer
    x = 3,020,333,342.78

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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.