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Finding the Third Proportional to 181,574 and 280,018

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Solution

The third proportional to 181,574 and 280,018 is: 431,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,574 : 280,018 = 280,018 : x
  2. Step 2: Convert to fraction form
    181,574/280,018 = 280,018/x
  3. Step 3: Cross multiply
    181,574x = 280,018 × 280,018
  4. Step 4: Simplify right side
    181,574x = 78,410,080,324
  5. Step 5: Solve for x
    x = 78,410,080,324/181,574
  6. Step 6: Final answer
    x = 431,835.40

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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.