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Finding the Third Proportional to 121,026 and 260,286

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Solution

The third proportional to 121,026 and 260,286 is: 559,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,026 : 260,286 = 260,286 : x
  2. Step 2: Convert to fraction form
    121,026/260,286 = 260,286/x
  3. Step 3: Cross multiply
    121,026x = 260,286 × 260,286
  4. Step 4: Simplify right side
    121,026x = 67,748,801,796
  5. Step 5: Solve for x
    x = 67,748,801,796/121,026
  6. Step 6: Final answer
    x = 559,787.17

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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.