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Finding the Third Proportional to 122,578 and 264,520

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Solution

The third proportional to 122,578 and 264,520 is: 570,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,578 : 264,520 = 264,520 : x
  2. Step 2: Convert to fraction form
    122,578/264,520 = 264,520/x
  3. Step 3: Cross multiply
    122,578x = 264,520 × 264,520
  4. Step 4: Simplify right side
    122,578x = 69,970,830,400
  5. Step 5: Solve for x
    x = 69,970,830,400/122,578
  6. Step 6: Final answer
    x = 570,826.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.