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Finding the Third Proportional to 260,069 and 353,239.50

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Solution

The third proportional to 260,069 and 353,239.50 is: 479,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,069 : 353,239.50 = 353,239.50 : x
  2. Step 2: Convert to fraction form
    260,069/353,239.50 = 353,239.50/x
  3. Step 3: Cross multiply
    260,069x = 353,239.50 × 353,239.50
  4. Step 4: Simplify right side
    260,069x = 124,778,144,360.25
  5. Step 5: Solve for x
    x = 124,778,144,360.25/260,069
  6. Step 6: Final answer
    x = 479,788.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.