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Finding the Third Proportional to 43,270 and 65,717

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Solution

The third proportional to 43,270 and 65,717 is: 99,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,270 : 65,717 = 65,717 : x
  2. Step 2: Convert to fraction form
    43,270/65,717 = 65,717/x
  3. Step 3: Cross multiply
    43,270x = 65,717 × 65,717
  4. Step 4: Simplify right side
    43,270x = 4,318,724,089
  5. Step 5: Solve for x
    x = 4,318,724,089/43,270
  6. Step 6: Final answer
    x = 99,808.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.