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Finding the Third Proportional to 275,587 and 413,380

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Solution

The third proportional to 275,587 and 413,380 is: 620,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,587 : 413,380 = 413,380 : x
  2. Step 2: Convert to fraction form
    275,587/413,380 = 413,380/x
  3. Step 3: Cross multiply
    275,587x = 413,380 × 413,380
  4. Step 4: Simplify right side
    275,587x = 170,883,024,400
  5. Step 5: Solve for x
    x = 170,883,024,400/275,587
  6. Step 6: Final answer
    x = 620,069.25

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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.