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Finding the Third Proportional to 133,714 and 278,636

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Solution

The third proportional to 133,714 and 278,636 is: 580,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,714 : 278,636 = 278,636 : x
  2. Step 2: Convert to fraction form
    133,714/278,636 = 278,636/x
  3. Step 3: Cross multiply
    133,714x = 278,636 × 278,636
  4. Step 4: Simplify right side
    133,714x = 77,638,020,496
  5. Step 5: Solve for x
    x = 77,638,020,496/133,714
  6. Step 6: Final answer
    x = 580,627.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.