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Finding the Third Proportional to 355,343 and 580,181

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Solution

The third proportional to 355,343 and 580,181 is: 947,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,343 : 580,181 = 580,181 : x
  2. Step 2: Convert to fraction form
    355,343/580,181 = 580,181/x
  3. Step 3: Cross multiply
    355,343x = 580,181 × 580,181
  4. Step 4: Simplify right side
    355,343x = 336,609,992,761
  5. Step 5: Solve for x
    x = 336,609,992,761/355,343
  6. Step 6: Final answer
    x = 947,281.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.