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Finding the Third Proportional to 279,763.88 and 421,984.69

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Solution

The third proportional to 279,763.88 and 421,984.69 is: 636,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,763.88 : 421,984.69 = 421,984.69 : x
  2. Step 2: Convert to fraction form
    279,763.88/421,984.69 = 421,984.69/x
  3. Step 3: Cross multiply
    279,763.88x = 421,984.69 × 421,984.69
  4. Step 4: Simplify right side
    279,763.88x = 178,071,076,484.47
  5. Step 5: Solve for x
    x = 178,071,076,484.47/279,763.88
  6. Step 6: Final answer
    x = 636,504.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.