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Finding the Third Proportional to 120,460 and 259,352

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Solution

The third proportional to 120,460 and 259,352 is: 558,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,460 : 259,352 = 259,352 : x
  2. Step 2: Convert to fraction form
    120,460/259,352 = 259,352/x
  3. Step 3: Cross multiply
    120,460x = 259,352 × 259,352
  4. Step 4: Simplify right side
    120,460x = 67,263,459,904
  5. Step 5: Solve for x
    x = 67,263,459,904/120,460
  6. Step 6: Final answer
    x = 558,388.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.