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Finding the Third Proportional to 305,556.50 and 657,921

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Solution

The third proportional to 305,556.50 and 657,921 is: 1,416,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,556.50 : 657,921 = 657,921 : x
  2. Step 2: Convert to fraction form
    305,556.50/657,921 = 657,921/x
  3. Step 3: Cross multiply
    305,556.50x = 657,921 × 657,921
  4. Step 4: Simplify right side
    305,556.50x = 432,860,042,241
  5. Step 5: Solve for x
    x = 432,860,042,241/305,556.50
  6. Step 6: Final answer
    x = 1,416,628.49

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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.