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Finding the Third Proportional to 129,890 and 200,307

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Solution

The third proportional to 129,890 and 200,307 is: 308,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,890 : 200,307 = 200,307 : x
  2. Step 2: Convert to fraction form
    129,890/200,307 = 200,307/x
  3. Step 3: Cross multiply
    129,890x = 200,307 × 200,307
  4. Step 4: Simplify right side
    129,890x = 40,122,894,249
  5. Step 5: Solve for x
    x = 40,122,894,249/129,890
  6. Step 6: Final answer
    x = 308,899.02

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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.