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Finding the Third Proportional to 122,712.47 and 188,552.81

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Solution

The third proportional to 122,712.47 and 188,552.81 is: 289,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,712.47 : 188,552.81 = 188,552.81 : x
  2. Step 2: Convert to fraction form
    122,712.47/188,552.81 = 188,552.81/x
  3. Step 3: Cross multiply
    122,712.47x = 188,552.81 × 188,552.81
  4. Step 4: Simplify right side
    122,712.47x = 35,552,163,101.66
  5. Step 5: Solve for x
    x = 35,552,163,101.66/122,712.47
  6. Step 6: Final answer
    x = 289,719.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.