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Finding the Third Proportional to 121,614 and 194,275

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Solution

The third proportional to 121,614 and 194,275 is: 310,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,614 : 194,275 = 194,275 : x
  2. Step 2: Convert to fraction form
    121,614/194,275 = 194,275/x
  3. Step 3: Cross multiply
    121,614x = 194,275 × 194,275
  4. Step 4: Simplify right side
    121,614x = 37,742,775,625
  5. Step 5: Solve for x
    x = 37,742,775,625/121,614
  6. Step 6: Final answer
    x = 310,348.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.