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Finding the Third Proportional to 120,356 and 186,263

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Solution

The third proportional to 120,356 and 186,263 is: 288,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356 : 186,263 = 186,263 : x
  2. Step 2: Convert to fraction form
    120,356/186,263 = 186,263/x
  3. Step 3: Cross multiply
    120,356x = 186,263 × 186,263
  4. Step 4: Simplify right side
    120,356x = 34,693,905,169
  5. Step 5: Solve for x
    x = 34,693,905,169/120,356
  6. Step 6: Final answer
    x = 288,260.70

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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.