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Finding the Third Proportional to 120,364 and 186,275

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Solution

The third proportional to 120,364 and 186,275 is: 288,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364 : 186,275 = 186,275 : x
  2. Step 2: Convert to fraction form
    120,364/186,275 = 186,275/x
  3. Step 3: Cross multiply
    120,364x = 186,275 × 186,275
  4. Step 4: Simplify right side
    120,364x = 34,698,375,625
  5. Step 5: Solve for x
    x = 34,698,375,625/120,364
  6. Step 6: Final answer
    x = 288,278.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.