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Finding the Third Proportional to 181,580 and 280,028

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Solution

The third proportional to 181,580 and 280,028 is: 431,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,580 : 280,028 = 280,028 : x
  2. Step 2: Convert to fraction form
    181,580/280,028 = 280,028/x
  3. Step 3: Cross multiply
    181,580x = 280,028 × 280,028
  4. Step 4: Simplify right side
    181,580x = 78,415,680,784
  5. Step 5: Solve for x
    x = 78,415,680,784/181,580
  6. Step 6: Final answer
    x = 431,851.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.