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Finding the Third Proportional to 314,205,560 and 678,394,422

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Solution

The third proportional to 314,205,560 and 678,394,422 is: 1,464,706,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,205,560 : 678,394,422 = 678,394,422 : x
  2. Step 2: Convert to fraction form
    314,205,560/678,394,422 = 678,394,422/x
  3. Step 3: Cross multiply
    314,205,560x = 678,394,422 × 678,394,422
  4. Step 4: Simplify right side
    314,205,560x = 460,218,991,800,714,112
  5. Step 5: Solve for x
    x = 460,218,991,800,714,112/314,205,560
  6. Step 6: Final answer
    x = 1,464,706,709.20

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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.