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Finding the Third Proportional to 127,636.31 and 211,987.97

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Solution

The third proportional to 127,636.31 and 211,987.97 is: 352,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,636.31 : 211,987.97 = 211,987.97 : x
  2. Step 2: Convert to fraction form
    127,636.31/211,987.97 = 211,987.97/x
  3. Step 3: Cross multiply
    127,636.31x = 211,987.97 × 211,987.97
  4. Step 4: Simplify right side
    127,636.31x = 44,938,898,894.75
  5. Step 5: Solve for x
    x = 44,938,898,894.75/127,636.31
  6. Step 6: Final answer
    x = 352,085.53

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.