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Finding the Third Proportional to 57,930 and 122,428

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Solution

The third proportional to 57,930 and 122,428 is: 258,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,930 : 122,428 = 122,428 : x
  2. Step 2: Convert to fraction form
    57,930/122,428 = 122,428/x
  3. Step 3: Cross multiply
    57,930x = 122,428 × 122,428
  4. Step 4: Simplify right side
    57,930x = 14,988,615,184
  5. Step 5: Solve for x
    x = 14,988,615,184/57,930
  6. Step 6: Final answer
    x = 258,736.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.