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Finding the Third Proportional to 121,524 and 189,964

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Solution

The third proportional to 121,524 and 189,964 is: 296,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,524 : 189,964 = 189,964 : x
  2. Step 2: Convert to fraction form
    121,524/189,964 = 189,964/x
  3. Step 3: Cross multiply
    121,524x = 189,964 × 189,964
  4. Step 4: Simplify right side
    121,524x = 36,086,321,296
  5. Step 5: Solve for x
    x = 36,086,321,296/121,524
  6. Step 6: Final answer
    x = 296,948.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.