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Finding the Third Proportional to 572,198 and 1,242,715

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Solution

The third proportional to 572,198 and 1,242,715 is: 2,698,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,198 : 1,242,715 = 1,242,715 : x
  2. Step 2: Convert to fraction form
    572,198/1,242,715 = 1,242,715/x
  3. Step 3: Cross multiply
    572,198x = 1,242,715 × 1,242,715
  4. Step 4: Simplify right side
    572,198x = 1,544,340,571,225
  5. Step 5: Solve for x
    x = 1,544,340,571,225/572,198
  6. Step 6: Final answer
    x = 2,698,961.85

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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.