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Finding the Third Proportional to 76,642 and 114,491

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Solution

The third proportional to 76,642 and 114,491 is: 171,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,642 : 114,491 = 114,491 : x
  2. Step 2: Convert to fraction form
    76,642/114,491 = 114,491/x
  3. Step 3: Cross multiply
    76,642x = 114,491 × 114,491
  4. Step 4: Simplify right side
    76,642x = 13,108,189,081
  5. Step 5: Solve for x
    x = 13,108,189,081/76,642
  6. Step 6: Final answer
    x = 171,031.41

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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.