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Finding the Third Proportional to 129,602 and 200,145

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Solution

The third proportional to 129,602 and 200,145 is: 309,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,602 : 200,145 = 200,145 : x
  2. Step 2: Convert to fraction form
    129,602/200,145 = 200,145/x
  3. Step 3: Cross multiply
    129,602x = 200,145 × 200,145
  4. Step 4: Simplify right side
    129,602x = 40,058,021,025
  5. Step 5: Solve for x
    x = 40,058,021,025/129,602
  6. Step 6: Final answer
    x = 309,084.90

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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.