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Finding the Third Proportional to 72,630 and 114,129

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Solution

The third proportional to 72,630 and 114,129 is: 179,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,630 : 114,129 = 114,129 : x
  2. Step 2: Convert to fraction form
    72,630/114,129 = 114,129/x
  3. Step 3: Cross multiply
    72,630x = 114,129 × 114,129
  4. Step 4: Simplify right side
    72,630x = 13,025,428,641
  5. Step 5: Solve for x
    x = 13,025,428,641/72,630
  6. Step 6: Final answer
    x = 179,339.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.