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Finding the Third Proportional to 275,205 and 415,579.50

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Solution

The third proportional to 275,205 and 415,579.50 is: 627,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,205 : 415,579.50 = 415,579.50 : x
  2. Step 2: Convert to fraction form
    275,205/415,579.50 = 415,579.50/x
  3. Step 3: Cross multiply
    275,205x = 415,579.50 × 415,579.50
  4. Step 4: Simplify right side
    275,205x = 172,706,320,820.25
  5. Step 5: Solve for x
    x = 172,706,320,820.25/275,205
  6. Step 6: Final answer
    x = 627,555.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.