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Finding the Third Proportional to 122,838 and 260,438

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Solution

The third proportional to 122,838 and 260,438 is: 552,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,838 : 260,438 = 260,438 : x
  2. Step 2: Convert to fraction form
    122,838/260,438 = 260,438/x
  3. Step 3: Cross multiply
    122,838x = 260,438 × 260,438
  4. Step 4: Simplify right side
    122,838x = 67,827,951,844
  5. Step 5: Solve for x
    x = 67,827,951,844/122,838
  6. Step 6: Final answer
    x = 552,174.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.