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Finding the Third Proportional to 131,639 and 256,714

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Solution

The third proportional to 131,639 and 256,714 is: 500,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,639 : 256,714 = 256,714 : x
  2. Step 2: Convert to fraction form
    131,639/256,714 = 256,714/x
  3. Step 3: Cross multiply
    131,639x = 256,714 × 256,714
  4. Step 4: Simplify right side
    131,639x = 65,902,077,796
  5. Step 5: Solve for x
    x = 65,902,077,796/131,639
  6. Step 6: Final answer
    x = 500,627.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.