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Finding the Third Proportional to 201,780 and 282,789

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Solution

The third proportional to 201,780 and 282,789 is: 396,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,780 : 282,789 = 282,789 : x
  2. Step 2: Convert to fraction form
    201,780/282,789 = 282,789/x
  3. Step 3: Cross multiply
    201,780x = 282,789 × 282,789
  4. Step 4: Simplify right side
    201,780x = 79,969,618,521
  5. Step 5: Solve for x
    x = 79,969,618,521/201,780
  6. Step 6: Final answer
    x = 396,320.84

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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.