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Finding the Third Proportional to 136,328 and 199,908

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Solution

The third proportional to 136,328 and 199,908 is: 293,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,328 : 199,908 = 199,908 : x
  2. Step 2: Convert to fraction form
    136,328/199,908 = 199,908/x
  3. Step 3: Cross multiply
    136,328x = 199,908 × 199,908
  4. Step 4: Simplify right side
    136,328x = 39,963,208,464
  5. Step 5: Solve for x
    x = 39,963,208,464/136,328
  6. Step 6: Final answer
    x = 293,140.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.