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Finding the Third Proportional to 201,929 and 311,317

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Solution

The third proportional to 201,929 and 311,317 is: 479,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,929 : 311,317 = 311,317 : x
  2. Step 2: Convert to fraction form
    201,929/311,317 = 311,317/x
  3. Step 3: Cross multiply
    201,929x = 311,317 × 311,317
  4. Step 4: Simplify right side
    201,929x = 96,918,274,489
  5. Step 5: Solve for x
    x = 96,918,274,489/201,929
  6. Step 6: Final answer
    x = 479,962.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.