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Finding the Third Proportional to 202,143 and 440,151

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Solution

The third proportional to 202,143 and 440,151 is: 958,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143 : 440,151 = 440,151 : x
  2. Step 2: Convert to fraction form
    202,143/440,151 = 440,151/x
  3. Step 3: Cross multiply
    202,143x = 440,151 × 440,151
  4. Step 4: Simplify right side
    202,143x = 193,732,902,801
  5. Step 5: Solve for x
    x = 193,732,902,801/202,143
  6. Step 6: Final answer
    x = 958,395.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.