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Finding the Third Proportional to 201,718 and 312,327

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Solution

The third proportional to 201,718 and 312,327 is: 483,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,718 : 312,327 = 312,327 : x
  2. Step 2: Convert to fraction form
    201,718/312,327 = 312,327/x
  3. Step 3: Cross multiply
    201,718x = 312,327 × 312,327
  4. Step 4: Simplify right side
    201,718x = 97,548,154,929
  5. Step 5: Solve for x
    x = 97,548,154,929/201,718
  6. Step 6: Final answer
    x = 483,586.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.