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Finding the Third Proportional to 168,816.66 and 257,512.59

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Solution

The third proportional to 168,816.66 and 257,512.59 is: 392,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,816.66 : 257,512.59 = 257,512.59 : x
  2. Step 2: Convert to fraction form
    168,816.66/257,512.59 = 257,512.59/x
  3. Step 3: Cross multiply
    168,816.66x = 257,512.59 × 257,512.59
  4. Step 4: Simplify right side
    168,816.66x = 66,312,735,939.85
  5. Step 5: Solve for x
    x = 66,312,735,939.85/168,816.66
  6. Step 6: Final answer
    x = 392,809.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.