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Finding the Third Proportional to 260,901 and 403,677

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Solution

The third proportional to 260,901 and 403,677 is: 624,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,901 : 403,677 = 403,677 : x
  2. Step 2: Convert to fraction form
    260,901/403,677 = 403,677/x
  3. Step 3: Cross multiply
    260,901x = 403,677 × 403,677
  4. Step 4: Simplify right side
    260,901x = 162,955,120,329
  5. Step 5: Solve for x
    x = 162,955,120,329/260,901
  6. Step 6: Final answer
    x = 624,586.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.