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Finding the Third Proportional to 201,942.75 and 316,815

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Solution

The third proportional to 201,942.75 and 316,815 is: 497,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,942.75 : 316,815 = 316,815 : x
  2. Step 2: Convert to fraction form
    201,942.75/316,815 = 316,815/x
  3. Step 3: Cross multiply
    201,942.75x = 316,815 × 316,815
  4. Step 4: Simplify right side
    201,942.75x = 100,371,744,225
  5. Step 5: Solve for x
    x = 100,371,744,225/201,942.75
  6. Step 6: Final answer
    x = 497,030.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.