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Finding the Third Proportional to 353,211.75 and 725,035.50

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Solution

The third proportional to 353,211.75 and 725,035.50 is: 1,488,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,211.75 : 725,035.50 = 725,035.50 : x
  2. Step 2: Convert to fraction form
    353,211.75/725,035.50 = 725,035.50/x
  3. Step 3: Cross multiply
    353,211.75x = 725,035.50 × 725,035.50
  4. Step 4: Simplify right side
    353,211.75x = 525,676,476,260.25
  5. Step 5: Solve for x
    x = 525,676,476,260.25/353,211.75
  6. Step 6: Final answer
    x = 1,488,275.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.