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Finding the Third Proportional to 129,932 and 200,658

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Solution

The third proportional to 129,932 and 200,658 is: 309,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,932 : 200,658 = 200,658 : x
  2. Step 2: Convert to fraction form
    129,932/200,658 = 200,658/x
  3. Step 3: Cross multiply
    129,932x = 200,658 × 200,658
  4. Step 4: Simplify right side
    129,932x = 40,263,632,964
  5. Step 5: Solve for x
    x = 40,263,632,964/129,932
  6. Step 6: Final answer
    x = 309,882.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.