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Finding the Third Proportional to 129,888 and 200,304

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Solution

The third proportional to 129,888 and 200,304 is: 308,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,888 : 200,304 = 200,304 : x
  2. Step 2: Convert to fraction form
    129,888/200,304 = 200,304/x
  3. Step 3: Cross multiply
    129,888x = 200,304 × 200,304
  4. Step 4: Simplify right side
    129,888x = 40,121,692,416
  5. Step 5: Solve for x
    x = 40,121,692,416/129,888
  6. Step 6: Final answer
    x = 308,894.53

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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.