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Finding the Third Proportional to 120,362 and 186,272

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Solution

The third proportional to 120,362 and 186,272 is: 288,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,362 : 186,272 = 186,272 : x
  2. Step 2: Convert to fraction form
    120,362/186,272 = 186,272/x
  3. Step 3: Cross multiply
    120,362x = 186,272 × 186,272
  4. Step 4: Simplify right side
    120,362x = 34,697,257,984
  5. Step 5: Solve for x
    x = 34,697,257,984/120,362
  6. Step 6: Final answer
    x = 288,274.19

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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.