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Finding the Third Proportional to 1,378,798,509 and 2,949,289,434

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Solution

The third proportional to 1,378,798,509 and 2,949,289,434 is: 6,308,614,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,798,509 : 2,949,289,434 = 2,949,289,434 : x
  2. Step 2: Convert to fraction form
    1,378,798,509/2,949,289,434 = 2,949,289,434/x
  3. Step 3: Cross multiply
    1,378,798,509x = 2,949,289,434 × 2,949,289,434
  4. Step 4: Simplify right side
    1,378,798,509x = 8,698,308,165,504,039,936
  5. Step 5: Solve for x
    x = 8,698,308,165,504,039,936/1,378,798,509
  6. Step 6: Final answer
    x = 6,308,614,426.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.