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Finding the Third Proportional to 120,187.13 and 186,836.63

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Solution

The third proportional to 120,187.13 and 186,836.63 is: 290,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,187.13 : 186,836.63 = 186,836.63 : x
  2. Step 2: Convert to fraction form
    120,187.13/186,836.63 = 186,836.63/x
  3. Step 3: Cross multiply
    120,187.13x = 186,836.63 × 186,836.63
  4. Step 4: Simplify right side
    120,187.13x = 34,907,924,441.39
  5. Step 5: Solve for x
    x = 34,907,924,441.39/120,187.13
  6. Step 6: Final answer
    x = 290,446.46

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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.