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Finding the Third Proportional to 678,720.25 and 1,340,309

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Solution

The third proportional to 678,720.25 and 1,340,309 is: 2,646,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,720.25 : 1,340,309 = 1,340,309 : x
  2. Step 2: Convert to fraction form
    678,720.25/1,340,309 = 1,340,309/x
  3. Step 3: Cross multiply
    678,720.25x = 1,340,309 × 1,340,309
  4. Step 4: Simplify right side
    678,720.25x = 1,796,428,215,481
  5. Step 5: Solve for x
    x = 1,796,428,215,481/678,720.25
  6. Step 6: Final answer
    x = 2,646,787.41

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.