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Finding the Third Proportional to 201,938 and 316,808

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Solution

The third proportional to 201,938 and 316,808 is: 497,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938 : 316,808 = 316,808 : x
  2. Step 2: Convert to fraction form
    201,938/316,808 = 316,808/x
  3. Step 3: Cross multiply
    201,938x = 316,808 × 316,808
  4. Step 4: Simplify right side
    201,938x = 100,367,308,864
  5. Step 5: Solve for x
    x = 100,367,308,864/201,938
  6. Step 6: Final answer
    x = 497,020.42

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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.