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Finding the Third Proportional to 53,879 and 85,272

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Solution

The third proportional to 53,879 and 85,272 is: 134,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,879 : 85,272 = 85,272 : x
  2. Step 2: Convert to fraction form
    53,879/85,272 = 85,272/x
  3. Step 3: Cross multiply
    53,879x = 85,272 × 85,272
  4. Step 4: Simplify right side
    53,879x = 7,271,313,984
  5. Step 5: Solve for x
    x = 7,271,313,984/53,879
  6. Step 6: Final answer
    x = 134,956.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.