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Finding the Third Proportional to 120,804 and 272,928

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Solution

The third proportional to 120,804 and 272,928 is: 616,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,804 : 272,928 = 272,928 : x
  2. Step 2: Convert to fraction form
    120,804/272,928 = 272,928/x
  3. Step 3: Cross multiply
    120,804x = 272,928 × 272,928
  4. Step 4: Simplify right side
    120,804x = 74,489,693,184
  5. Step 5: Solve for x
    x = 74,489,693,184/120,804
  6. Step 6: Final answer
    x = 616,616.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.