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Finding the Third Proportional to 117,141.19 and 256,638.38

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Solution

The third proportional to 117,141.19 and 256,638.38 is: 562,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,141.19 : 256,638.38 = 256,638.38 : x
  2. Step 2: Convert to fraction form
    117,141.19/256,638.38 = 256,638.38/x
  3. Step 3: Cross multiply
    117,141.19x = 256,638.38 × 256,638.38
  4. Step 4: Simplify right side
    117,141.19x = 65,863,255,522.64
  5. Step 5: Solve for x
    x = 65,863,255,522.64/117,141.19
  6. Step 6: Final answer
    x = 562,255.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.