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Finding the Third Proportional to 117,305.72 and 257,450.91

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Solution

The third proportional to 117,305.72 and 257,450.91 is: 565,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,305.72 : 257,450.91 = 257,450.91 : x
  2. Step 2: Convert to fraction form
    117,305.72/257,450.91 = 257,450.91/x
  3. Step 3: Cross multiply
    117,305.72x = 257,450.91 × 257,450.91
  4. Step 4: Simplify right side
    117,305.72x = 66,280,969,128.95
  5. Step 5: Solve for x
    x = 66,280,969,128.95/117,305.72
  6. Step 6: Final answer
    x = 565,027.60

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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.