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Finding the Third Proportional to 136,838 and 200,523

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Solution

The third proportional to 136,838 and 200,523 is: 293,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,838 : 200,523 = 200,523 : x
  2. Step 2: Convert to fraction form
    136,838/200,523 = 200,523/x
  3. Step 3: Cross multiply
    136,838x = 200,523 × 200,523
  4. Step 4: Simplify right side
    136,838x = 40,209,473,529
  5. Step 5: Solve for x
    x = 40,209,473,529/136,838
  6. Step 6: Final answer
    x = 293,847.28

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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.