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Finding the Third Proportional to 315,056 and 682,592

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Solution

The third proportional to 315,056 and 682,592 is: 1,478,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,056 : 682,592 = 682,592 : x
  2. Step 2: Convert to fraction form
    315,056/682,592 = 682,592/x
  3. Step 3: Cross multiply
    315,056x = 682,592 × 682,592
  4. Step 4: Simplify right side
    315,056x = 465,931,838,464
  5. Step 5: Solve for x
    x = 465,931,838,464/315,056
  6. Step 6: Final answer
    x = 1,478,885.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.