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Finding the Third Proportional to 121,560.75 and 261,619.88

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Solution

The third proportional to 121,560.75 and 261,619.88 is: 563,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,560.75 : 261,619.88 = 261,619.88 : x
  2. Step 2: Convert to fraction form
    121,560.75/261,619.88 = 261,619.88/x
  3. Step 3: Cross multiply
    121,560.75x = 261,619.88 × 261,619.88
  4. Step 4: Simplify right side
    121,560.75x = 68,444,958,995.02
  5. Step 5: Solve for x
    x = 68,444,958,995.02/121,560.75
  6. Step 6: Final answer
    x = 563,051.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.