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Finding the Third Proportional to 129,818 and 189,620

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Solution

The third proportional to 129,818 and 189,620 is: 276,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,818 : 189,620 = 189,620 : x
  2. Step 2: Convert to fraction form
    129,818/189,620 = 189,620/x
  3. Step 3: Cross multiply
    129,818x = 189,620 × 189,620
  4. Step 4: Simplify right side
    129,818x = 35,955,744,400
  5. Step 5: Solve for x
    x = 35,955,744,400/129,818
  6. Step 6: Final answer
    x = 276,970.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.