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Finding the Third Proportional to 78,825 and 93,405

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Solution

The third proportional to 78,825 and 93,405 is: 110,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825 : 93,405 = 93,405 : x
  2. Step 2: Convert to fraction form
    78,825/93,405 = 93,405/x
  3. Step 3: Cross multiply
    78,825x = 93,405 × 93,405
  4. Step 4: Simplify right side
    78,825x = 8,724,494,025
  5. Step 5: Solve for x
    x = 8,724,494,025/78,825
  6. Step 6: Final answer
    x = 110,681.81

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.