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Finding the Third Proportional to 29,780 and 61,720

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Solution

The third proportional to 29,780 and 61,720 is: 127,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780 : 61,720 = 61,720 : x
  2. Step 2: Convert to fraction form
    29,780/61,720 = 61,720/x
  3. Step 3: Cross multiply
    29,780x = 61,720 × 61,720
  4. Step 4: Simplify right side
    29,780x = 3,809,358,400
  5. Step 5: Solve for x
    x = 3,809,358,400/29,780
  6. Step 6: Final answer
    x = 127,916.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.