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Finding the Third Proportional to 347,878 and 755,242

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Solution

The third proportional to 347,878 and 755,242 is: 1,639,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,878 : 755,242 = 755,242 : x
  2. Step 2: Convert to fraction form
    347,878/755,242 = 755,242/x
  3. Step 3: Cross multiply
    347,878x = 755,242 × 755,242
  4. Step 4: Simplify right side
    347,878x = 570,390,478,564
  5. Step 5: Solve for x
    x = 570,390,478,564/347,878
  6. Step 6: Final answer
    x = 1,639,627.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.