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Finding the Third Proportional to 239,185.88 and 520,407.38

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Solution

The third proportional to 239,185.88 and 520,407.38 is: 1,132,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,185.88 : 520,407.38 = 520,407.38 : x
  2. Step 2: Convert to fraction form
    239,185.88/520,407.38 = 520,407.38/x
  3. Step 3: Cross multiply
    239,185.88x = 520,407.38 × 520,407.38
  4. Step 4: Simplify right side
    239,185.88x = 270,823,835,954.39
  5. Step 5: Solve for x
    x = 270,823,835,954.39/239,185.88
  6. Step 6: Final answer
    x = 1,132,273.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.