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Finding the Third Proportional to 287,121.38 and 440,719.31

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Solution

The third proportional to 287,121.38 and 440,719.31 is: 676,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,121.38 : 440,719.31 = 440,719.31 : x
  2. Step 2: Convert to fraction form
    287,121.38/440,719.31 = 440,719.31/x
  3. Step 3: Cross multiply
    287,121.38x = 440,719.31 × 440,719.31
  4. Step 4: Simplify right side
    287,121.38x = 194,233,512,410.47
  5. Step 5: Solve for x
    x = 194,233,512,410.47/287,121.38
  6. Step 6: Final answer
    x = 676,485.73

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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.