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Finding the Third Proportional to 201,833 and 312,517

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Solution

The third proportional to 201,833 and 312,517 is: 483,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,833 : 312,517 = 312,517 : x
  2. Step 2: Convert to fraction form
    201,833/312,517 = 312,517/x
  3. Step 3: Cross multiply
    201,833x = 312,517 × 312,517
  4. Step 4: Simplify right side
    201,833x = 97,666,875,289
  5. Step 5: Solve for x
    x = 97,666,875,289/201,833
  6. Step 6: Final answer
    x = 483,899.44

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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.