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Finding the Third Proportional to 105,910 and 232,742

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Solution

The third proportional to 105,910 and 232,742 is: 511,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,910 : 232,742 = 232,742 : x
  2. Step 2: Convert to fraction form
    105,910/232,742 = 232,742/x
  3. Step 3: Cross multiply
    105,910x = 232,742 × 232,742
  4. Step 4: Simplify right side
    105,910x = 54,168,838,564
  5. Step 5: Solve for x
    x = 54,168,838,564/105,910
  6. Step 6: Final answer
    x = 511,461.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.