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Finding the Third Proportional to 275,531 and 584,128

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Solution

The third proportional to 275,531 and 584,128 is: 1,238,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,531 : 584,128 = 584,128 : x
  2. Step 2: Convert to fraction form
    275,531/584,128 = 584,128/x
  3. Step 3: Cross multiply
    275,531x = 584,128 × 584,128
  4. Step 4: Simplify right side
    275,531x = 341,205,520,384
  5. Step 5: Solve for x
    x = 341,205,520,384/275,531
  6. Step 6: Final answer
    x = 1,238,356.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.