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Finding the Third Proportional to 201,720 and 438,924

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Solution

The third proportional to 201,720 and 438,924 is: 955,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,720 : 438,924 = 438,924 : x
  2. Step 2: Convert to fraction form
    201,720/438,924 = 438,924/x
  3. Step 3: Cross multiply
    201,720x = 438,924 × 438,924
  4. Step 4: Simplify right side
    201,720x = 192,654,277,776
  5. Step 5: Solve for x
    x = 192,654,277,776/201,720
  6. Step 6: Final answer
    x = 955,057.89

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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.