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Finding the Third Proportional to 260,013 and 399,481

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Solution

The third proportional to 260,013 and 399,481 is: 613,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,013 : 399,481 = 399,481 : x
  2. Step 2: Convert to fraction form
    260,013/399,481 = 399,481/x
  3. Step 3: Cross multiply
    260,013x = 399,481 × 399,481
  4. Step 4: Simplify right side
    260,013x = 159,585,069,361
  5. Step 5: Solve for x
    x = 159,585,069,361/260,013
  6. Step 6: Final answer
    x = 613,758.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.