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Finding the Third Proportional to 122,184 and 258,840

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Solution

The third proportional to 122,184 and 258,840 is: 548,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,184 : 258,840 = 258,840 : x
  2. Step 2: Convert to fraction form
    122,184/258,840 = 258,840/x
  3. Step 3: Cross multiply
    122,184x = 258,840 × 258,840
  4. Step 4: Simplify right side
    122,184x = 66,998,145,600
  5. Step 5: Solve for x
    x = 66,998,145,600/122,184
  6. Step 6: Final answer
    x = 548,338.13

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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.