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Finding the Third Proportional to 108,992 and 232,768

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Solution

The third proportional to 108,992 and 232,768 is: 497,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,992 : 232,768 = 232,768 : x
  2. Step 2: Convert to fraction form
    108,992/232,768 = 232,768/x
  3. Step 3: Cross multiply
    108,992x = 232,768 × 232,768
  4. Step 4: Simplify right side
    108,992x = 54,180,941,824
  5. Step 5: Solve for x
    x = 54,180,941,824/108,992
  6. Step 6: Final answer
    x = 497,109.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.