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Finding the Third Proportional to 71,786 and 102,757

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Solution

The third proportional to 71,786 and 102,757 is: 147,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786 : 102,757 = 102,757 : x
  2. Step 2: Convert to fraction form
    71,786/102,757 = 102,757/x
  3. Step 3: Cross multiply
    71,786x = 102,757 × 102,757
  4. Step 4: Simplify right side
    71,786x = 10,559,001,049
  5. Step 5: Solve for x
    x = 10,559,001,049/71,786
  6. Step 6: Final answer
    x = 147,089.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.