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Finding the Third Proportional to 84,120 and 183,720

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Solution

The third proportional to 84,120 and 183,720 is: 401,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,120 : 183,720 = 183,720 : x
  2. Step 2: Convert to fraction form
    84,120/183,720 = 183,720/x
  3. Step 3: Cross multiply
    84,120x = 183,720 × 183,720
  4. Step 4: Simplify right side
    84,120x = 33,753,038,400
  5. Step 5: Solve for x
    x = 33,753,038,400/84,120
  6. Step 6: Final answer
    x = 401,248.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.