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Finding the Third Proportional to 76,356 and 114,678

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Solution

The third proportional to 76,356 and 114,678 is: 172,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356 : 114,678 = 114,678 : x
  2. Step 2: Convert to fraction form
    76,356/114,678 = 114,678/x
  3. Step 3: Cross multiply
    76,356x = 114,678 × 114,678
  4. Step 4: Simplify right side
    76,356x = 13,151,043,684
  5. Step 5: Solve for x
    x = 13,151,043,684/76,356
  6. Step 6: Final answer
    x = 172,233.27

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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.