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Finding the Third Proportional to 136,185 and 210,021

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Solution

The third proportional to 136,185 and 210,021 is: 323,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,185 : 210,021 = 210,021 : x
  2. Step 2: Convert to fraction form
    136,185/210,021 = 210,021/x
  3. Step 3: Cross multiply
    136,185x = 210,021 × 210,021
  4. Step 4: Simplify right side
    136,185x = 44,108,820,441
  5. Step 5: Solve for x
    x = 44,108,820,441/136,185
  6. Step 6: Final answer
    x = 323,888.98

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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.