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Finding the Third Proportional to 275,498 and 417,407

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Solution

The third proportional to 275,498 and 417,407 is: 632,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,498 : 417,407 = 417,407 : x
  2. Step 2: Convert to fraction form
    275,498/417,407 = 417,407/x
  3. Step 3: Cross multiply
    275,498x = 417,407 × 417,407
  4. Step 4: Simplify right side
    275,498x = 174,228,603,649
  5. Step 5: Solve for x
    x = 174,228,603,649/275,498
  6. Step 6: Final answer
    x = 632,413.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.