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Finding the Third Proportional to 201,770 and 282,775

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Solution

The third proportional to 201,770 and 282,775 is: 396,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,770 : 282,775 = 282,775 : x
  2. Step 2: Convert to fraction form
    201,770/282,775 = 282,775/x
  3. Step 3: Cross multiply
    201,770x = 282,775 × 282,775
  4. Step 4: Simplify right side
    201,770x = 79,961,700,625
  5. Step 5: Solve for x
    x = 79,961,700,625/201,770
  6. Step 6: Final answer
    x = 396,301.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.