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Finding the Third Proportional to 76,346 and 114,168

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Solution

The third proportional to 76,346 and 114,168 is: 170,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,346 : 114,168 = 114,168 : x
  2. Step 2: Convert to fraction form
    76,346/114,168 = 114,168/x
  3. Step 3: Cross multiply
    76,346x = 114,168 × 114,168
  4. Step 4: Simplify right side
    76,346x = 13,034,332,224
  5. Step 5: Solve for x
    x = 13,034,332,224/76,346
  6. Step 6: Final answer
    x = 170,727.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.