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Finding the Third Proportional to 201,945 and 316,818

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Solution

The third proportional to 201,945 and 316,818 is: 497,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,945 : 316,818 = 316,818 : x
  2. Step 2: Convert to fraction form
    201,945/316,818 = 316,818/x
  3. Step 3: Cross multiply
    201,945x = 316,818 × 316,818
  4. Step 4: Simplify right side
    201,945x = 100,373,645,124
  5. Step 5: Solve for x
    x = 100,373,645,124/201,945
  6. Step 6: Final answer
    x = 497,034.56

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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.