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Finding the Third Proportional to 122,600.25 and 264,564.56

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Solution

The third proportional to 122,600.25 and 264,564.56 is: 570,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,600.25 : 264,564.56 = 264,564.56 : x
  2. Step 2: Convert to fraction form
    122,600.25/264,564.56 = 264,564.56/x
  3. Step 3: Cross multiply
    122,600.25x = 264,564.56 × 264,564.56
  4. Step 4: Simplify right side
    122,600.25x = 69,994,407,730.82
  5. Step 5: Solve for x
    x = 69,994,407,730.82/122,600.25
  6. Step 6: Final answer
    x = 570,915.70

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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.