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Finding the Third Proportional to 122,886 and 265,212

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Solution

The third proportional to 122,886 and 265,212 is: 572,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,886 : 265,212 = 265,212 : x
  2. Step 2: Convert to fraction form
    122,886/265,212 = 265,212/x
  3. Step 3: Cross multiply
    122,886x = 265,212 × 265,212
  4. Step 4: Simplify right side
    122,886x = 70,337,404,944
  5. Step 5: Solve for x
    x = 70,337,404,944/122,886
  6. Step 6: Final answer
    x = 572,379.32

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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.