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Finding the Third Proportional to 57,720 and 120,058

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Solution

The third proportional to 57,720 and 120,058 is: 249,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,720 : 120,058 = 120,058 : x
  2. Step 2: Convert to fraction form
    57,720/120,058 = 120,058/x
  3. Step 3: Cross multiply
    57,720x = 120,058 × 120,058
  4. Step 4: Simplify right side
    57,720x = 14,413,923,364
  5. Step 5: Solve for x
    x = 14,413,923,364/57,720
  6. Step 6: Final answer
    x = 249,721.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.