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Finding the Third Proportional to 201,677 and 442,721

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Solution

The third proportional to 201,677 and 442,721 is: 971,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,677 : 442,721 = 442,721 : x
  2. Step 2: Convert to fraction form
    201,677/442,721 = 442,721/x
  3. Step 3: Cross multiply
    201,677x = 442,721 × 442,721
  4. Step 4: Simplify right side
    201,677x = 196,001,883,841
  5. Step 5: Solve for x
    x = 196,001,883,841/201,677
  6. Step 6: Final answer
    x = 971,860.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.