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Finding the Third Proportional to 177,382 and 280,827

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Solution

The third proportional to 177,382 and 280,827 is: 444,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,382 : 280,827 = 280,827 : x
  2. Step 2: Convert to fraction form
    177,382/280,827 = 280,827/x
  3. Step 3: Cross multiply
    177,382x = 280,827 × 280,827
  4. Step 4: Simplify right side
    177,382x = 78,863,803,929
  5. Step 5: Solve for x
    x = 78,863,803,929/177,382
  6. Step 6: Final answer
    x = 444,598.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.