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Finding the Third Proportional to 176,998 and 280,407

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Solution

The third proportional to 176,998 and 280,407 is: 444,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,998 : 280,407 = 280,407 : x
  2. Step 2: Convert to fraction form
    176,998/280,407 = 280,407/x
  3. Step 3: Cross multiply
    176,998x = 280,407 × 280,407
  4. Step 4: Simplify right side
    176,998x = 78,628,085,649
  5. Step 5: Solve for x
    x = 78,628,085,649/176,998
  6. Step 6: Final answer
    x = 444,231.49

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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.