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Finding the Third Proportional to 319,205 and 685,451

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Solution

The third proportional to 319,205 and 685,451 is: 1,471,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,205 : 685,451 = 685,451 : x
  2. Step 2: Convert to fraction form
    319,205/685,451 = 685,451/x
  3. Step 3: Cross multiply
    319,205x = 685,451 × 685,451
  4. Step 4: Simplify right side
    319,205x = 469,843,073,401
  5. Step 5: Solve for x
    x = 469,843,073,401/319,205
  6. Step 6: Final answer
    x = 1,471,916.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.