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Finding the Third Proportional to 76,660 and 114,518

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Solution

The third proportional to 76,660 and 114,518 is: 171,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,660 : 114,518 = 114,518 : x
  2. Step 2: Convert to fraction form
    76,660/114,518 = 114,518/x
  3. Step 3: Cross multiply
    76,660x = 114,518 × 114,518
  4. Step 4: Simplify right side
    76,660x = 13,114,372,324
  5. Step 5: Solve for x
    x = 13,114,372,324/76,660
  6. Step 6: Final answer
    x = 171,071.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.