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Finding the Third Proportional to 129,208 and 199,576

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Solution

The third proportional to 129,208 and 199,576 is: 308,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,208 : 199,576 = 199,576 : x
  2. Step 2: Convert to fraction form
    129,208/199,576 = 199,576/x
  3. Step 3: Cross multiply
    129,208x = 199,576 × 199,576
  4. Step 4: Simplify right side
    129,208x = 39,830,579,776
  5. Step 5: Solve for x
    x = 39,830,579,776/129,208
  6. Step 6: Final answer
    x = 308,267.13

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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.