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Finding the Third Proportional to 56,910 and 81,975.75

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Solution

The third proportional to 56,910 and 81,975.75 is: 118,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,910 : 81,975.75 = 81,975.75 : x
  2. Step 2: Convert to fraction form
    56,910/81,975.75 = 81,975.75/x
  3. Step 3: Cross multiply
    56,910x = 81,975.75 × 81,975.75
  4. Step 4: Simplify right side
    56,910x = 6,720,023,588.06
  5. Step 5: Solve for x
    x = 6,720,023,588.06/56,910
  6. Step 6: Final answer
    x = 118,081.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.