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Finding the Third Proportional to 117,619 and 256,562

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Solution

The third proportional to 117,619 and 256,562 is: 559,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,619 : 256,562 = 256,562 : x
  2. Step 2: Convert to fraction form
    117,619/256,562 = 256,562/x
  3. Step 3: Cross multiply
    117,619x = 256,562 × 256,562
  4. Step 4: Simplify right side
    117,619x = 65,824,059,844
  5. Step 5: Solve for x
    x = 65,824,059,844/117,619
  6. Step 6: Final answer
    x = 559,637.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.