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Finding the Third Proportional to 319,593 and 678,597

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Solution

The third proportional to 319,593 and 678,597 is: 1,440,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,593 : 678,597 = 678,597 : x
  2. Step 2: Convert to fraction form
    319,593/678,597 = 678,597/x
  3. Step 3: Cross multiply
    319,593x = 678,597 × 678,597
  4. Step 4: Simplify right side
    319,593x = 460,493,888,409
  5. Step 5: Solve for x
    x = 460,493,888,409/319,593
  6. Step 6: Final answer
    x = 1,440,876.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.