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Finding the Third Proportional to 202,139 and 440,143

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Solution

The third proportional to 202,139 and 440,143 is: 958,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,139 : 440,143 = 440,143 : x
  2. Step 2: Convert to fraction form
    202,139/440,143 = 440,143/x
  3. Step 3: Cross multiply
    202,139x = 440,143 × 440,143
  4. Step 4: Simplify right side
    202,139x = 193,725,860,449
  5. Step 5: Solve for x
    x = 193,725,860,449/202,139
  6. Step 6: Final answer
    x = 958,379.43

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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.