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Finding the Third Proportional to 76,669 and 105,576

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Solution

The third proportional to 76,669 and 105,576 is: 145,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,669 : 105,576 = 105,576 : x
  2. Step 2: Convert to fraction form
    76,669/105,576 = 105,576/x
  3. Step 3: Cross multiply
    76,669x = 105,576 × 105,576
  4. Step 4: Simplify right side
    76,669x = 11,146,291,776
  5. Step 5: Solve for x
    x = 11,146,291,776/76,669
  6. Step 6: Final answer
    x = 145,381.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.