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Finding the Third Proportional to 122,836 and 266,408

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Solution

The third proportional to 122,836 and 266,408 is: 577,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836 : 266,408 = 266,408 : x
  2. Step 2: Convert to fraction form
    122,836/266,408 = 266,408/x
  3. Step 3: Cross multiply
    122,836x = 266,408 × 266,408
  4. Step 4: Simplify right side
    122,836x = 70,973,222,464
  5. Step 5: Solve for x
    x = 70,973,222,464/122,836
  6. Step 6: Final answer
    x = 577,788.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.