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Finding the Third Proportional to 168,816.94 and 257,513.63

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Solution

The third proportional to 168,816.94 and 257,513.63 is: 392,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,816.94 : 257,513.63 = 257,513.63 : x
  2. Step 2: Convert to fraction form
    168,816.94/257,513.63 = 257,513.63/x
  3. Step 3: Cross multiply
    168,816.94x = 257,513.63 × 257,513.63
  4. Step 4: Simplify right side
    168,816.94x = 66,313,267,060.64
  5. Step 5: Solve for x
    x = 66,313,267,060.64/168,816.94
  6. Step 6: Final answer
    x = 392,811.69

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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.