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Finding the Third Proportional to 52,083 and 81,200.25

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Solution

The third proportional to 52,083 and 81,200.25 is: 126,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,083 : 81,200.25 = 81,200.25 : x
  2. Step 2: Convert to fraction form
    52,083/81,200.25 = 81,200.25/x
  3. Step 3: Cross multiply
    52,083x = 81,200.25 × 81,200.25
  4. Step 4: Simplify right side
    52,083x = 6,593,480,600.06
  5. Step 5: Solve for x
    x = 6,593,480,600.06/52,083
  6. Step 6: Final answer
    x = 126,595.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.