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Finding the Third Proportional to 120,824 and 272,982

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Solution

The third proportional to 120,824 and 272,982 is: 616,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,824 : 272,982 = 272,982 : x
  2. Step 2: Convert to fraction form
    120,824/272,982 = 272,982/x
  3. Step 3: Cross multiply
    120,824x = 272,982 × 272,982
  4. Step 4: Simplify right side
    120,824x = 74,519,172,324
  5. Step 5: Solve for x
    x = 74,519,172,324/120,824
  6. Step 6: Final answer
    x = 616,758.03

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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.