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Finding the Third Proportional to 678,732 and 1,340,331

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Solution

The third proportional to 678,732 and 1,340,331 is: 2,646,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,732 : 1,340,331 = 1,340,331 : x
  2. Step 2: Convert to fraction form
    678,732/1,340,331 = 1,340,331/x
  3. Step 3: Cross multiply
    678,732x = 1,340,331 × 1,340,331
  4. Step 4: Simplify right side
    678,732x = 1,796,487,189,561
  5. Step 5: Solve for x
    x = 1,796,487,189,561/678,732
  6. Step 6: Final answer
    x = 2,646,828.48

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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.