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Finding the Third Proportional to 122,370 and 251,328

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Solution

The third proportional to 122,370 and 251,328 is: 516,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,370 : 251,328 = 251,328 : x
  2. Step 2: Convert to fraction form
    122,370/251,328 = 251,328/x
  3. Step 3: Cross multiply
    122,370x = 251,328 × 251,328
  4. Step 4: Simplify right side
    122,370x = 63,165,763,584
  5. Step 5: Solve for x
    x = 63,165,763,584/122,370
  6. Step 6: Final answer
    x = 516,186.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.