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Finding the Third Proportional to 201,003 and 312,573

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Solution

The third proportional to 201,003 and 312,573 is: 486,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,003 : 312,573 = 312,573 : x
  2. Step 2: Convert to fraction form
    201,003/312,573 = 312,573/x
  3. Step 3: Cross multiply
    201,003x = 312,573 × 312,573
  4. Step 4: Simplify right side
    201,003x = 97,701,880,329
  5. Step 5: Solve for x
    x = 97,701,880,329/201,003
  6. Step 6: Final answer
    x = 486,071.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.