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Finding the Third Proportional to 201,918 and 312,613

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Solution

The third proportional to 201,918 and 312,613 is: 483,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,918 : 312,613 = 312,613 : x
  2. Step 2: Convert to fraction form
    201,918/312,613 = 312,613/x
  3. Step 3: Cross multiply
    201,918x = 312,613 × 312,613
  4. Step 4: Simplify right side
    201,918x = 97,726,887,769
  5. Step 5: Solve for x
    x = 97,726,887,769/201,918
  6. Step 6: Final answer
    x = 483,992.95

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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.