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Finding the Third Proportional to 275,994 and 415,355

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Solution

The third proportional to 275,994 and 415,355 is: 625,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,994 : 415,355 = 415,355 : x
  2. Step 2: Convert to fraction form
    275,994/415,355 = 415,355/x
  3. Step 3: Cross multiply
    275,994x = 415,355 × 415,355
  4. Step 4: Simplify right side
    275,994x = 172,519,776,025
  5. Step 5: Solve for x
    x = 172,519,776,025/275,994
  6. Step 6: Final answer
    x = 625,085.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.