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Finding the Third Proportional to 353,604 and 727,620

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Solution

The third proportional to 353,604 and 727,620 is: 1,497,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,604 : 727,620 = 727,620 : x
  2. Step 2: Convert to fraction form
    353,604/727,620 = 727,620/x
  3. Step 3: Cross multiply
    353,604x = 727,620 × 727,620
  4. Step 4: Simplify right side
    353,604x = 529,430,864,400
  5. Step 5: Solve for x
    x = 529,430,864,400/353,604
  6. Step 6: Final answer
    x = 1,497,242.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.