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Finding the Third Proportional to 53,489.25 and 82,779.75

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Solution

The third proportional to 53,489.25 and 82,779.75 is: 128,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489.25 : 82,779.75 = 82,779.75 : x
  2. Step 2: Convert to fraction form
    53,489.25/82,779.75 = 82,779.75/x
  3. Step 3: Cross multiply
    53,489.25x = 82,779.75 × 82,779.75
  4. Step 4: Simplify right side
    53,489.25x = 6,852,487,010.06
  5. Step 5: Solve for x
    x = 6,852,487,010.06/53,489.25
  6. Step 6: Final answer
    x = 128,109.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.