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Finding the Third Proportional to 80,430 and 105,765

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Solution

The third proportional to 80,430 and 105,765 is: 139,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,430 : 105,765 = 105,765 : x
  2. Step 2: Convert to fraction form
    80,430/105,765 = 105,765/x
  3. Step 3: Cross multiply
    80,430x = 105,765 × 105,765
  4. Step 4: Simplify right side
    80,430x = 11,186,235,225
  5. Step 5: Solve for x
    x = 11,186,235,225/80,430
  6. Step 6: Final answer
    x = 139,080.38

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.