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Finding the Third Proportional to 136,900 and 200,621

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Solution

The third proportional to 136,900 and 200,621 is: 294,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,900 : 200,621 = 200,621 : x
  2. Step 2: Convert to fraction form
    136,900/200,621 = 200,621/x
  3. Step 3: Cross multiply
    136,900x = 200,621 × 200,621
  4. Step 4: Simplify right side
    136,900x = 40,248,785,641
  5. Step 5: Solve for x
    x = 40,248,785,641/136,900
  6. Step 6: Final answer
    x = 294,001.36

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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.