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Finding the Third Proportional to 78,813 and 103,455

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Solution

The third proportional to 78,813 and 103,455 is: 135,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,813 : 103,455 = 103,455 : x
  2. Step 2: Convert to fraction form
    78,813/103,455 = 103,455/x
  3. Step 3: Cross multiply
    78,813x = 103,455 × 103,455
  4. Step 4: Simplify right side
    78,813x = 10,702,937,025
  5. Step 5: Solve for x
    x = 10,702,937,025/78,813
  6. Step 6: Final answer
    x = 135,801.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.