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Finding the Third Proportional to 129,806 and 189,603

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Solution

The third proportional to 129,806 and 189,603 is: 276,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,806 : 189,603 = 189,603 : x
  2. Step 2: Convert to fraction form
    129,806/189,603 = 189,603/x
  3. Step 3: Cross multiply
    129,806x = 189,603 × 189,603
  4. Step 4: Simplify right side
    129,806x = 35,949,297,609
  5. Step 5: Solve for x
    x = 35,949,297,609/129,806
  6. Step 6: Final answer
    x = 276,946.35

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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.