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Finding the Third Proportional to 82,764 and 121,282.50

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Solution

The third proportional to 82,764 and 121,282.50 is: 177,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764 : 121,282.50 = 121,282.50 : x
  2. Step 2: Convert to fraction form
    82,764/121,282.50 = 121,282.50/x
  3. Step 3: Cross multiply
    82,764x = 121,282.50 × 121,282.50
  4. Step 4: Simplify right side
    82,764x = 14,709,444,806.25
  5. Step 5: Solve for x
    x = 14,709,444,806.25/82,764
  6. Step 6: Final answer
    x = 177,727.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.