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Finding the Third Proportional to 355,203 and 780,390

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Solution

The third proportional to 355,203 and 780,390 is: 1,714,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,203 : 780,390 = 780,390 : x
  2. Step 2: Convert to fraction form
    355,203/780,390 = 780,390/x
  3. Step 3: Cross multiply
    355,203x = 780,390 × 780,390
  4. Step 4: Simplify right side
    355,203x = 609,008,552,100
  5. Step 5: Solve for x
    x = 609,008,552,100/355,203
  6. Step 6: Final answer
    x = 1,714,536.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.