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Finding the Third Proportional to 121,636.69 and 279,973.97

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Solution

The third proportional to 121,636.69 and 279,973.97 is: 644,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,636.69 : 279,973.97 = 279,973.97 : x
  2. Step 2: Convert to fraction form
    121,636.69/279,973.97 = 279,973.97/x
  3. Step 3: Cross multiply
    121,636.69x = 279,973.97 × 279,973.97
  4. Step 4: Simplify right side
    121,636.69x = 78,385,423,177.63
  5. Step 5: Solve for x
    x = 78,385,423,177.63/121,636.69
  6. Step 6: Final answer
    x = 644,422.54

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.