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Finding the Third Proportional to 257,954.63 and 371,550.38

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Solution

The third proportional to 257,954.63 and 371,550.38 is: 535,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,954.63 : 371,550.38 = 371,550.38 : x
  2. Step 2: Convert to fraction form
    257,954.63/371,550.38 = 371,550.38/x
  3. Step 3: Cross multiply
    257,954.63x = 371,550.38 × 371,550.38
  4. Step 4: Simplify right side
    257,954.63x = 138,049,681,162.64
  5. Step 5: Solve for x
    x = 138,049,681,162.64/257,954.63
  6. Step 6: Final answer
    x = 535,170.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.