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Finding the Third Proportional to 122,076 and 259,920

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Solution

The third proportional to 122,076 and 259,920 is: 553,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,076 : 259,920 = 259,920 : x
  2. Step 2: Convert to fraction form
    122,076/259,920 = 259,920/x
  3. Step 3: Cross multiply
    122,076x = 259,920 × 259,920
  4. Step 4: Simplify right side
    122,076x = 67,558,406,400
  5. Step 5: Solve for x
    x = 67,558,406,400/122,076
  6. Step 6: Final answer
    x = 553,412.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.