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Finding the Third Proportional to 313,948 and 447,242

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Solution

The third proportional to 313,948 and 447,242 is: 637,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,948 : 447,242 = 447,242 : x
  2. Step 2: Convert to fraction form
    313,948/447,242 = 447,242/x
  3. Step 3: Cross multiply
    313,948x = 447,242 × 447,242
  4. Step 4: Simplify right side
    313,948x = 200,025,406,564
  5. Step 5: Solve for x
    x = 200,025,406,564/313,948
  6. Step 6: Final answer
    x = 637,129.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.