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Finding the Third Proportional to 122,838 and 260,439

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Solution

The third proportional to 122,838 and 260,439 is: 552,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,838 : 260,439 = 260,439 : x
  2. Step 2: Convert to fraction form
    122,838/260,439 = 260,439/x
  3. Step 3: Cross multiply
    122,838x = 260,439 × 260,439
  4. Step 4: Simplify right side
    122,838x = 67,828,472,721
  5. Step 5: Solve for x
    x = 67,828,472,721/122,838
  6. Step 6: Final answer
    x = 552,178.26

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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.