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Finding the Third Proportional to 117,291.80 and 256,086.35

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Solution

The third proportional to 117,291.80 and 256,086.35 is: 559,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,291.80 : 256,086.35 = 256,086.35 : x
  2. Step 2: Convert to fraction form
    117,291.80/256,086.35 = 256,086.35/x
  3. Step 3: Cross multiply
    117,291.80x = 256,086.35 × 256,086.35
  4. Step 4: Simplify right side
    117,291.80x = 65,580,219,456.59
  5. Step 5: Solve for x
    x = 65,580,219,456.59/117,291.80
  6. Step 6: Final answer
    x = 559,120.26

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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.