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Finding the Third Proportional to 76,828.50 and 103,569.75

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Solution

The third proportional to 76,828.50 and 103,569.75 is: 139,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,828.50 : 103,569.75 = 103,569.75 : x
  2. Step 2: Convert to fraction form
    76,828.50/103,569.75 = 103,569.75/x
  3. Step 3: Cross multiply
    76,828.50x = 103,569.75 × 103,569.75
  4. Step 4: Simplify right side
    76,828.50x = 10,726,693,115.06
  5. Step 5: Solve for x
    x = 10,726,693,115.06/76,828.50
  6. Step 6: Final answer
    x = 139,618.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.