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Finding the Third Proportional to 43,780 and 65,654

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Solution

The third proportional to 43,780 and 65,654 is: 98,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,780 : 65,654 = 65,654 : x
  2. Step 2: Convert to fraction form
    43,780/65,654 = 65,654/x
  3. Step 3: Cross multiply
    43,780x = 65,654 × 65,654
  4. Step 4: Simplify right side
    43,780x = 4,310,447,716
  5. Step 5: Solve for x
    x = 4,310,447,716/43,780
  6. Step 6: Final answer
    x = 98,457.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.