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Finding the Third Proportional to 181,641.75 and 280,127.25

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Solution

The third proportional to 181,641.75 and 280,127.25 is: 432,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,641.75 : 280,127.25 = 280,127.25 : x
  2. Step 2: Convert to fraction form
    181,641.75/280,127.25 = 280,127.25/x
  3. Step 3: Cross multiply
    181,641.75x = 280,127.25 × 280,127.25
  4. Step 4: Simplify right side
    181,641.75x = 78,471,276,192.56
  5. Step 5: Solve for x
    x = 78,471,276,192.56/181,641.75
  6. Step 6: Final answer
    x = 432,011.23

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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.