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Finding the Third Proportional to 73,520 and 116,480

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Solution

The third proportional to 73,520 and 116,480 is: 184,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,520 : 116,480 = 116,480 : x
  2. Step 2: Convert to fraction form
    73,520/116,480 = 116,480/x
  3. Step 3: Cross multiply
    73,520x = 116,480 × 116,480
  4. Step 4: Simplify right side
    73,520x = 13,567,590,400
  5. Step 5: Solve for x
    x = 13,567,590,400/73,520
  6. Step 6: Final answer
    x = 184,542.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.