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Finding the Third Proportional to 121,185 and 201,270

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Solution

The third proportional to 121,185 and 201,270 is: 334,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,185 : 201,270 = 201,270 : x
  2. Step 2: Convert to fraction form
    121,185/201,270 = 201,270/x
  3. Step 3: Cross multiply
    121,185x = 201,270 × 201,270
  4. Step 4: Simplify right side
    121,185x = 40,509,612,900
  5. Step 5: Solve for x
    x = 40,509,612,900/121,185
  6. Step 6: Final answer
    x = 334,279.10

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.